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Finding the Third Proportional to 157,600.69 and 247,882.78

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Solution

The third proportional to 157,600.69 and 247,882.78 is: 389,883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,600.69 : 247,882.78 = 247,882.78 : x
  2. Step 2: Convert to fraction form
    157,600.69/247,882.78 = 247,882.78/x
  3. Step 3: Cross multiply
    157,600.69x = 247,882.78 × 247,882.78
  4. Step 4: Simplify right side
    157,600.69x = 61,445,873,240.24
  5. Step 5: Solve for x
    x = 61,445,873,240.24/157,600.69
  6. Step 6: Final answer
    x = 389,883.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.