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Finding the Third Proportional to 157,725 and 337,590

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Solution

The third proportional to 157,725 and 337,590 is: 722,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,725 : 337,590 = 337,590 : x
  2. Step 2: Convert to fraction form
    157,725/337,590 = 337,590/x
  3. Step 3: Cross multiply
    157,725x = 337,590 × 337,590
  4. Step 4: Simplify right side
    157,725x = 113,967,008,100
  5. Step 5: Solve for x
    x = 113,967,008,100/157,725
  6. Step 6: Final answer
    x = 722,567.81

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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.