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Finding the Third Proportional to 193,134.38 and 418,425.75

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Solution

The third proportional to 193,134.38 and 418,425.75 is: 906,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,134.38 : 418,425.75 = 418,425.75 : x
  2. Step 2: Convert to fraction form
    193,134.38/418,425.75 = 418,425.75/x
  3. Step 3: Cross multiply
    193,134.38x = 418,425.75 × 418,425.75
  4. Step 4: Simplify right side
    193,134.38x = 175,080,108,263.06
  5. Step 5: Solve for x
    x = 175,080,108,263.06/193,134.38
  6. Step 6: Final answer
    x = 906,519.66

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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.