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Finding the Third Proportional to 120,304 and 261,112

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Solution

The third proportional to 120,304 and 261,112 is: 566,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,304 : 261,112 = 261,112 : x
  2. Step 2: Convert to fraction form
    120,304/261,112 = 261,112/x
  3. Step 3: Cross multiply
    120,304x = 261,112 × 261,112
  4. Step 4: Simplify right side
    120,304x = 68,179,476,544
  5. Step 5: Solve for x
    x = 68,179,476,544/120,304
  6. Step 6: Final answer
    x = 566,726.60

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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.