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Finding the Third Proportional to 157,542 and 235,764

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Solution

The third proportional to 157,542 and 235,764 is: 352,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,542 : 235,764 = 235,764 : x
  2. Step 2: Convert to fraction form
    157,542/235,764 = 235,764/x
  3. Step 3: Cross multiply
    157,542x = 235,764 × 235,764
  4. Step 4: Simplify right side
    157,542x = 55,584,663,696
  5. Step 5: Solve for x
    x = 55,584,663,696/157,542
  6. Step 6: Final answer
    x = 352,824.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.