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Finding the Third Proportional to 157,594 and 337,334

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Solution

The third proportional to 157,594 and 337,334 is: 722,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,594 : 337,334 = 337,334 : x
  2. Step 2: Convert to fraction form
    157,594/337,334 = 337,334/x
  3. Step 3: Cross multiply
    157,594x = 337,334 × 337,334
  4. Step 4: Simplify right side
    157,594x = 113,794,227,556
  5. Step 5: Solve for x
    x = 113,794,227,556/157,594
  6. Step 6: Final answer
    x = 722,072.08

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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.