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Finding the Third Proportional to 157,386 and 337,227.75

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Solution

The third proportional to 157,386 and 337,227.75 is: 722,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,386 : 337,227.75 = 337,227.75 : x
  2. Step 2: Convert to fraction form
    157,386/337,227.75 = 337,227.75/x
  3. Step 3: Cross multiply
    157,386x = 337,227.75 × 337,227.75
  4. Step 4: Simplify right side
    157,386x = 113,722,555,370.06
  5. Step 5: Solve for x
    x = 113,722,555,370.06/157,386
  6. Step 6: Final answer
    x = 722,570.97

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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.