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Finding the Third Proportional to 255,871,125 and 374,210,487

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Solution

The third proportional to 255,871,125 and 374,210,487 is: 547,281,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,871,125 : 374,210,487 = 374,210,487 : x
  2. Step 2: Convert to fraction form
    255,871,125/374,210,487 = 374,210,487/x
  3. Step 3: Cross multiply
    255,871,125x = 374,210,487 × 374,210,487
  4. Step 4: Simplify right side
    255,871,125x = 140,033,488,580,777,168
  5. Step 5: Solve for x
    x = 140,033,488,580,777,168/255,871,125
  6. Step 6: Final answer
    x = 547,281,326.02

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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.