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Finding the Third Proportional to 132,554 and 284,884

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Solution

The third proportional to 132,554 and 284,884 is: 612,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,554 : 284,884 = 284,884 : x
  2. Step 2: Convert to fraction form
    132,554/284,884 = 284,884/x
  3. Step 3: Cross multiply
    132,554x = 284,884 × 284,884
  4. Step 4: Simplify right side
    132,554x = 81,158,893,456
  5. Step 5: Solve for x
    x = 81,158,893,456/132,554
  6. Step 6: Final answer
    x = 612,270.42

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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.