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Finding the Third Proportional to 171,490.50 and 231,329.25

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Solution

The third proportional to 171,490.50 and 231,329.25 is: 312,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,490.50 : 231,329.25 = 231,329.25 : x
  2. Step 2: Convert to fraction form
    171,490.50/231,329.25 = 231,329.25/x
  3. Step 3: Cross multiply
    171,490.50x = 231,329.25 × 231,329.25
  4. Step 4: Simplify right side
    171,490.50x = 53,513,221,905.56
  5. Step 5: Solve for x
    x = 53,513,221,905.56/171,490.50
  6. Step 6: Final answer
    x = 312,047.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.