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Finding the Third Proportional to 193,180 and 418,517

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Solution

The third proportional to 193,180 and 418,517 is: 906,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,180 : 418,517 = 418,517 : x
  2. Step 2: Convert to fraction form
    193,180/418,517 = 418,517/x
  3. Step 3: Cross multiply
    193,180x = 418,517 × 418,517
  4. Step 4: Simplify right side
    193,180x = 175,156,479,289
  5. Step 5: Solve for x
    x = 175,156,479,289/193,180
  6. Step 6: Final answer
    x = 906,700.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.