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Finding the Third Proportional to 157,592 and 337,330

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Solution

The third proportional to 157,592 and 337,330 is: 722,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,592 : 337,330 = 337,330 : x
  2. Step 2: Convert to fraction form
    157,592/337,330 = 337,330/x
  3. Step 3: Cross multiply
    157,592x = 337,330 × 337,330
  4. Step 4: Simplify right side
    157,592x = 113,791,528,900
  5. Step 5: Solve for x
    x = 113,791,528,900/157,592
  6. Step 6: Final answer
    x = 722,064.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.