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Finding the Third Proportional to 132,542 and 284,860

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Solution

The third proportional to 132,542 and 284,860 is: 612,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,542 : 284,860 = 284,860 : x
  2. Step 2: Convert to fraction form
    132,542/284,860 = 284,860/x
  3. Step 3: Cross multiply
    132,542x = 284,860 × 284,860
  4. Step 4: Simplify right side
    132,542x = 81,145,219,600
  5. Step 5: Solve for x
    x = 81,145,219,600/132,542
  6. Step 6: Final answer
    x = 612,222.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.