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Finding the Third Proportional to 157,591 and 337,324

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Solution

The third proportional to 157,591 and 337,324 is: 722,043.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,591 : 337,324 = 337,324 : x
  2. Step 2: Convert to fraction form
    157,591/337,324 = 337,324/x
  3. Step 3: Cross multiply
    157,591x = 337,324 × 337,324
  4. Step 4: Simplify right side
    157,591x = 113,787,480,976
  5. Step 5: Solve for x
    x = 113,787,480,976/157,591
  6. Step 6: Final answer
    x = 722,043.02

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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.