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Finding the Third Proportional to 193,382.44 and 415,332.56

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Solution

The third proportional to 193,382.44 and 415,332.56 is: 892,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,382.44 : 415,332.56 = 415,332.56 : x
  2. Step 2: Convert to fraction form
    193,382.44/415,332.56 = 415,332.56/x
  3. Step 3: Cross multiply
    193,382.44x = 415,332.56 × 415,332.56
  4. Step 4: Simplify right side
    193,382.44x = 172,501,137,472.82
  5. Step 5: Solve for x
    x = 172,501,137,472.82/193,382.44
  6. Step 6: Final answer
    x = 892,020.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.