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Finding the Third Proportional to 193,691.25 and 419,553

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Solution

The third proportional to 193,691.25 and 419,553 is: 908,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,691.25 : 419,553 = 419,553 : x
  2. Step 2: Convert to fraction form
    193,691.25/419,553 = 419,553/x
  3. Step 3: Cross multiply
    193,691.25x = 419,553 × 419,553
  4. Step 4: Simplify right side
    193,691.25x = 176,024,719,809
  5. Step 5: Solve for x
    x = 176,024,719,809/193,691.25
  6. Step 6: Final answer
    x = 908,790.25

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