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Finding the Third Proportional to 193,179.38 and 418,515.75

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Solution

The third proportional to 193,179.38 and 418,515.75 is: 906,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,179.38 : 418,515.75 = 418,515.75 : x
  2. Step 2: Convert to fraction form
    193,179.38/418,515.75 = 418,515.75/x
  3. Step 3: Cross multiply
    193,179.38x = 418,515.75 × 418,515.75
  4. Step 4: Simplify right side
    193,179.38x = 175,155,432,998.06
  5. Step 5: Solve for x
    x = 175,155,432,998.06/193,179.38
  6. Step 6: Final answer
    x = 906,698.41

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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.