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Finding the Third Proportional to 151,074 and 204,452

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Solution

The third proportional to 151,074 and 204,452 is: 276,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,074 : 204,452 = 204,452 : x
  2. Step 2: Convert to fraction form
    151,074/204,452 = 204,452/x
  3. Step 3: Cross multiply
    151,074x = 204,452 × 204,452
  4. Step 4: Simplify right side
    151,074x = 41,800,620,304
  5. Step 5: Solve for x
    x = 41,800,620,304/151,074
  6. Step 6: Final answer
    x = 276,689.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.