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Finding the Third Proportional to 174,747.38 and 356,830.31

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Solution

The third proportional to 174,747.38 and 356,830.31 is: 728,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,747.38 : 356,830.31 = 356,830.31 : x
  2. Step 2: Convert to fraction form
    174,747.38/356,830.31 = 356,830.31/x
  3. Step 3: Cross multiply
    174,747.38x = 356,830.31 × 356,830.31
  4. Step 4: Simplify right side
    174,747.38x = 127,327,871,918.85
  5. Step 5: Solve for x
    x = 127,327,871,918.85/174,747.38
  6. Step 6: Final answer
    x = 728,639.68

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.