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Finding the Third Proportional to 123,282 and 252,404

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Solution

The third proportional to 123,282 and 252,404 is: 516,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,282 : 252,404 = 252,404 : x
  2. Step 2: Convert to fraction form
    123,282/252,404 = 252,404/x
  3. Step 3: Cross multiply
    123,282x = 252,404 × 252,404
  4. Step 4: Simplify right side
    123,282x = 63,707,779,216
  5. Step 5: Solve for x
    x = 63,707,779,216/123,282
  6. Step 6: Final answer
    x = 516,764.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.