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Finding the Third Proportional to 157,542 and 235,282.50

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Solution

The third proportional to 157,542 and 235,282.50 is: 351,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,542 : 235,282.50 = 235,282.50 : x
  2. Step 2: Convert to fraction form
    157,542/235,282.50 = 235,282.50/x
  3. Step 3: Cross multiply
    157,542x = 235,282.50 × 235,282.50
  4. Step 4: Simplify right side
    157,542x = 55,357,854,806.25
  5. Step 5: Solve for x
    x = 55,357,854,806.25/157,542
  6. Step 6: Final answer
    x = 351,384.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.