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Finding the Third Proportional to 110,778 and 240,251

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Solution

The third proportional to 110,778 and 240,251 is: 521,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,778 : 240,251 = 240,251 : x
  2. Step 2: Convert to fraction form
    110,778/240,251 = 240,251/x
  3. Step 3: Cross multiply
    110,778x = 240,251 × 240,251
  4. Step 4: Simplify right side
    110,778x = 57,720,543,001
  5. Step 5: Solve for x
    x = 57,720,543,001/110,778
  6. Step 6: Final answer
    x = 521,046.99

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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.