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Finding the Third Proportional to 252,934 and 381,069

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Solution

The third proportional to 252,934 and 381,069 is: 574,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,934 : 381,069 = 381,069 : x
  2. Step 2: Convert to fraction form
    252,934/381,069 = 381,069/x
  3. Step 3: Cross multiply
    252,934x = 381,069 × 381,069
  4. Step 4: Simplify right side
    252,934x = 145,213,582,761
  5. Step 5: Solve for x
    x = 145,213,582,761/252,934
  6. Step 6: Final answer
    x = 574,116.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.