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Finding the Third Proportional to 237,662 and 345,792

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Solution

The third proportional to 237,662 and 345,792 is: 503,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,662 : 345,792 = 345,792 : x
  2. Step 2: Convert to fraction form
    237,662/345,792 = 345,792/x
  3. Step 3: Cross multiply
    237,662x = 345,792 × 345,792
  4. Step 4: Simplify right side
    237,662x = 119,572,107,264
  5. Step 5: Solve for x
    x = 119,572,107,264/237,662
  6. Step 6: Final answer
    x = 503,118.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.