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Finding the Third Proportional to 107,778 and 232,764

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Solution

The third proportional to 107,778 and 232,764 is: 502,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,778 : 232,764 = 232,764 : x
  2. Step 2: Convert to fraction form
    107,778/232,764 = 232,764/x
  3. Step 3: Cross multiply
    107,778x = 232,764 × 232,764
  4. Step 4: Simplify right side
    107,778x = 54,179,079,696
  5. Step 5: Solve for x
    x = 54,179,079,696/107,778
  6. Step 6: Final answer
    x = 502,691.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.