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Finding the Third Proportional to 193,998.38 and 424,078.88

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Solution

The third proportional to 193,998.38 and 424,078.88 is: 927,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,998.38 : 424,078.88 = 424,078.88 : x
  2. Step 2: Convert to fraction form
    193,998.38/424,078.88 = 424,078.88/x
  3. Step 3: Cross multiply
    193,998.38x = 424,078.88 × 424,078.88
  4. Step 4: Simplify right side
    193,998.38x = 179,842,892,221.27
  5. Step 5: Solve for x
    x = 179,842,892,221.27/193,998.38
  6. Step 6: Final answer
    x = 927,032.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.