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Finding the Third Proportional to 157,860 and 337,860

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Solution

The third proportional to 157,860 and 337,860 is: 723,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,860 : 337,860 = 337,860 : x
  2. Step 2: Convert to fraction form
    157,860/337,860 = 337,860/x
  3. Step 3: Cross multiply
    157,860x = 337,860 × 337,860
  4. Step 4: Simplify right side
    157,860x = 114,149,379,600
  5. Step 5: Solve for x
    x = 114,149,379,600/157,860
  6. Step 6: Final answer
    x = 723,105.15

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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.