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Finding the Third Proportional to 159,466 and 246,975

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Solution

The third proportional to 159,466 and 246,975 is: 382,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,466 : 246,975 = 246,975 : x
  2. Step 2: Convert to fraction form
    159,466/246,975 = 246,975/x
  3. Step 3: Cross multiply
    159,466x = 246,975 × 246,975
  4. Step 4: Simplify right side
    159,466x = 60,996,650,625
  5. Step 5: Solve for x
    x = 60,996,650,625/159,466
  6. Step 6: Final answer
    x = 382,505.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.