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Finding the Third Proportional to 255,871,143 and 374,210,505

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Solution

The third proportional to 255,871,143 and 374,210,505 is: 547,281,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,871,143 : 374,210,505 = 374,210,505 : x
  2. Step 2: Convert to fraction form
    255,871,143/374,210,505 = 374,210,505/x
  3. Step 3: Cross multiply
    255,871,143x = 374,210,505 × 374,210,505
  4. Step 4: Simplify right side
    255,871,143x = 140,033,502,052,355,024
  5. Step 5: Solve for x
    x = 140,033,502,052,355,024/255,871,143
  6. Step 6: Final answer
    x = 547,281,340.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.