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Finding the Third Proportional to 193,192.25 and 418,534.75

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Solution

The third proportional to 193,192.25 and 418,534.75 is: 906,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,192.25 : 418,534.75 = 418,534.75 : x
  2. Step 2: Convert to fraction form
    193,192.25/418,534.75 = 418,534.75/x
  3. Step 3: Cross multiply
    193,192.25x = 418,534.75 × 418,534.75
  4. Step 4: Simplify right side
    193,192.25x = 175,171,336,957.56
  5. Step 5: Solve for x
    x = 175,171,336,957.56/193,192.25
  6. Step 6: Final answer
    x = 906,720.31

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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.