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Finding the Third Proportional to 120,514 and 250,586

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Solution

The third proportional to 120,514 and 250,586 is: 521,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,514 : 250,586 = 250,586 : x
  2. Step 2: Convert to fraction form
    120,514/250,586 = 250,586/x
  3. Step 3: Cross multiply
    120,514x = 250,586 × 250,586
  4. Step 4: Simplify right side
    120,514x = 62,793,343,396
  5. Step 5: Solve for x
    x = 62,793,343,396/120,514
  6. Step 6: Final answer
    x = 521,046.05

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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.