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Finding the Third Proportional to 240,850 and 367,561

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Solution

The third proportional to 240,850 and 367,561 is: 560,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,850 : 367,561 = 367,561 : x
  2. Step 2: Convert to fraction form
    240,850/367,561 = 367,561/x
  3. Step 3: Cross multiply
    240,850x = 367,561 × 367,561
  4. Step 4: Simplify right side
    240,850x = 135,101,088,721
  5. Step 5: Solve for x
    x = 135,101,088,721/240,850
  6. Step 6: Final answer
    x = 560,934.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.