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Finding the Third Proportional to 171,216.50 and 266,150.38

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Solution

The third proportional to 171,216.50 and 266,150.38 is: 413,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,216.50 : 266,150.38 = 266,150.38 : x
  2. Step 2: Convert to fraction form
    171,216.50/266,150.38 = 266,150.38/x
  3. Step 3: Cross multiply
    171,216.50x = 266,150.38 × 266,150.38
  4. Step 4: Simplify right side
    171,216.50x = 70,836,022,112.64
  5. Step 5: Solve for x
    x = 70,836,022,112.64/171,216.50
  6. Step 6: Final answer
    x = 413,721.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.