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Finding the Third Proportional to 172,305 and 252,456.75

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Solution

The third proportional to 172,305 and 252,456.75 is: 369,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,305 : 252,456.75 = 252,456.75 : x
  2. Step 2: Convert to fraction form
    172,305/252,456.75 = 252,456.75/x
  3. Step 3: Cross multiply
    172,305x = 252,456.75 × 252,456.75
  4. Step 4: Simplify right side
    172,305x = 63,734,410,620.56
  5. Step 5: Solve for x
    x = 63,734,410,620.56/172,305
  6. Step 6: Final answer
    x = 369,892.98

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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.