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Finding the Third Proportional to 127,772 and 280,656

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Solution

The third proportional to 127,772 and 280,656 is: 616,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,772 : 280,656 = 280,656 : x
  2. Step 2: Convert to fraction form
    127,772/280,656 = 280,656/x
  3. Step 3: Cross multiply
    127,772x = 280,656 × 280,656
  4. Step 4: Simplify right side
    127,772x = 78,767,790,336
  5. Step 5: Solve for x
    x = 78,767,790,336/127,772
  6. Step 6: Final answer
    x = 616,471.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.