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Finding the Third Proportional to 127,854 and 278,016

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Solution

The third proportional to 127,854 and 278,016 is: 604,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,854 : 278,016 = 278,016 : x
  2. Step 2: Convert to fraction form
    127,854/278,016 = 278,016/x
  3. Step 3: Cross multiply
    127,854x = 278,016 × 278,016
  4. Step 4: Simplify right side
    127,854x = 77,292,896,256
  5. Step 5: Solve for x
    x = 77,292,896,256/127,854
  6. Step 6: Final answer
    x = 604,540.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.