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Finding the Third Proportional to 109,967 and 240,959

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Solution

The third proportional to 109,967 and 240,959 is: 527,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,967 : 240,959 = 240,959 : x
  2. Step 2: Convert to fraction form
    109,967/240,959 = 240,959/x
  3. Step 3: Cross multiply
    109,967x = 240,959 × 240,959
  4. Step 4: Simplify right side
    109,967x = 58,061,239,681
  5. Step 5: Solve for x
    x = 58,061,239,681/109,967
  6. Step 6: Final answer
    x = 527,987.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.