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Finding the Third Proportional to 110,769 and 240,065

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Solution

The third proportional to 110,769 and 240,065 is: 520,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,769 : 240,065 = 240,065 : x
  2. Step 2: Convert to fraction form
    110,769/240,065 = 240,065/x
  3. Step 3: Cross multiply
    110,769x = 240,065 × 240,065
  4. Step 4: Simplify right side
    110,769x = 57,631,204,225
  5. Step 5: Solve for x
    x = 57,631,204,225/110,769
  6. Step 6: Final answer
    x = 520,282.79

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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.