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Finding the Third Proportional to 171,745.71 and 366,316.09

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Solution

The third proportional to 171,745.71 and 366,316.09 is: 781,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,745.71 : 366,316.09 = 366,316.09 : x
  2. Step 2: Convert to fraction form
    171,745.71/366,316.09 = 366,316.09/x
  3. Step 3: Cross multiply
    171,745.71x = 366,316.09 × 366,316.09
  4. Step 4: Simplify right side
    171,745.71x = 134,187,479,824.79
  5. Step 5: Solve for x
    x = 134,187,479,824.79/171,745.71
  6. Step 6: Final answer
    x = 781,314.90

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.