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Finding the Third Proportional to 110,412 and 240,147

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Solution

The third proportional to 110,412 and 240,147 is: 522,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,412 : 240,147 = 240,147 : x
  2. Step 2: Convert to fraction form
    110,412/240,147 = 240,147/x
  3. Step 3: Cross multiply
    110,412x = 240,147 × 240,147
  4. Step 4: Simplify right side
    110,412x = 57,670,581,609
  5. Step 5: Solve for x
    x = 57,670,581,609/110,412
  6. Step 6: Final answer
    x = 522,321.68

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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.