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Finding the Third Proportional to 171,728.25 and 252,626.25

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Solution

The third proportional to 171,728.25 and 252,626.25 is: 371,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,728.25 : 252,626.25 = 252,626.25 : x
  2. Step 2: Convert to fraction form
    171,728.25/252,626.25 = 252,626.25/x
  3. Step 3: Cross multiply
    171,728.25x = 252,626.25 × 252,626.25
  4. Step 4: Simplify right side
    171,728.25x = 63,820,022,189.06
  5. Step 5: Solve for x
    x = 63,820,022,189.06/171,728.25
  6. Step 6: Final answer
    x = 371,633.80

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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.