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Finding the Third Proportional to 132,680 and 277,656

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Solution

The third proportional to 132,680 and 277,656 is: 581,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,680 : 277,656 = 277,656 : x
  2. Step 2: Convert to fraction form
    132,680/277,656 = 277,656/x
  3. Step 3: Cross multiply
    132,680x = 277,656 × 277,656
  4. Step 4: Simplify right side
    132,680x = 77,092,854,336
  5. Step 5: Solve for x
    x = 77,092,854,336/132,680
  6. Step 6: Final answer
    x = 581,043.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.