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Finding the Third Proportional to 127,778 and 278,884

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Solution

The third proportional to 127,778 and 278,884 is: 608,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,778 : 278,884 = 278,884 : x
  2. Step 2: Convert to fraction form
    127,778/278,884 = 278,884/x
  3. Step 3: Cross multiply
    127,778x = 278,884 × 278,884
  4. Step 4: Simplify right side
    127,778x = 77,776,285,456
  5. Step 5: Solve for x
    x = 77,776,285,456/127,778
  6. Step 6: Final answer
    x = 608,682.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.