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Finding the Third Proportional to 115,892 and 240,666

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Solution

The third proportional to 115,892 and 240,666 is: 499,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,892 : 240,666 = 240,666 : x
  2. Step 2: Convert to fraction form
    115,892/240,666 = 240,666/x
  3. Step 3: Cross multiply
    115,892x = 240,666 × 240,666
  4. Step 4: Simplify right side
    115,892x = 57,920,123,556
  5. Step 5: Solve for x
    x = 57,920,123,556/115,892
  6. Step 6: Final answer
    x = 499,776.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.