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Finding the Third Proportional to 171,690.89 and 252,399.16

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Solution

The third proportional to 171,690.89 and 252,399.16 is: 371,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,690.89 : 252,399.16 = 252,399.16 : x
  2. Step 2: Convert to fraction form
    171,690.89/252,399.16 = 252,399.16/x
  3. Step 3: Cross multiply
    171,690.89x = 252,399.16 × 252,399.16
  4. Step 4: Simplify right side
    171,690.89x = 63,705,338,019.45
  5. Step 5: Solve for x
    x = 63,705,338,019.45/171,690.89
  6. Step 6: Final answer
    x = 371,046.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.