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Finding the Third Proportional to 172,270 and 252,562.75

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Solution

The third proportional to 172,270 and 252,562.75 is: 370,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,270 : 252,562.75 = 252,562.75 : x
  2. Step 2: Convert to fraction form
    172,270/252,562.75 = 252,562.75/x
  3. Step 3: Cross multiply
    172,270x = 252,562.75 × 252,562.75
  4. Step 4: Simplify right side
    172,270x = 63,787,942,687.56
  5. Step 5: Solve for x
    x = 63,787,942,687.56/172,270
  6. Step 6: Final answer
    x = 370,278.88

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