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Finding the Third Proportional to 151,542 and 237,735

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Solution

The third proportional to 151,542 and 237,735 is: 372,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,542 : 237,735 = 237,735 : x
  2. Step 2: Convert to fraction form
    151,542/237,735 = 237,735/x
  3. Step 3: Cross multiply
    151,542x = 237,735 × 237,735
  4. Step 4: Simplify right side
    151,542x = 56,517,930,225
  5. Step 5: Solve for x
    x = 56,517,930,225/151,542
  6. Step 6: Final answer
    x = 372,952.25

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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.