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Finding the Third Proportional to 237,210.19 and 379,388.81

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Solution

The third proportional to 237,210.19 and 379,388.81 is: 606,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,210.19 : 379,388.81 = 379,388.81 : x
  2. Step 2: Convert to fraction form
    237,210.19/379,388.81 = 379,388.81/x
  3. Step 3: Cross multiply
    237,210.19x = 379,388.81 × 379,388.81
  4. Step 4: Simplify right side
    237,210.19x = 143,935,871,050.16
  5. Step 5: Solve for x
    x = 143,935,871,050.16/237,210.19
  6. Step 6: Final answer
    x = 606,786.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.