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Finding the Third Proportional to 193,095.38 and 420,517.88

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Solution

The third proportional to 193,095.38 and 420,517.88 is: 915,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,095.38 : 420,517.88 = 420,517.88 : x
  2. Step 2: Convert to fraction form
    193,095.38/420,517.88 = 420,517.88/x
  3. Step 3: Cross multiply
    193,095.38x = 420,517.88 × 420,517.88
  4. Step 4: Simplify right side
    193,095.38x = 176,835,283,194.52
  5. Step 5: Solve for x
    x = 176,835,283,194.52/193,095.38
  6. Step 6: Final answer
    x = 915,792.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.