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Finding the Third Proportional to 132,531 and 284,838

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Solution

The third proportional to 132,531 and 284,838 is: 612,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,531 : 284,838 = 284,838 : x
  2. Step 2: Convert to fraction form
    132,531/284,838 = 284,838/x
  3. Step 3: Cross multiply
    132,531x = 284,838 × 284,838
  4. Step 4: Simplify right side
    132,531x = 81,132,686,244
  5. Step 5: Solve for x
    x = 81,132,686,244/132,531
  6. Step 6: Final answer
    x = 612,178.93

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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.