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Finding the Third Proportional to 110,446 and 240,443

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Solution

The third proportional to 110,446 and 240,443 is: 523,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,446 : 240,443 = 240,443 : x
  2. Step 2: Convert to fraction form
    110,446/240,443 = 240,443/x
  3. Step 3: Cross multiply
    110,446x = 240,443 × 240,443
  4. Step 4: Simplify right side
    110,446x = 57,812,836,249
  5. Step 5: Solve for x
    x = 57,812,836,249/110,446
  6. Step 6: Final answer
    x = 523,448.89

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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.