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Finding the Third Proportional to 171,722 and 252,441.50

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Solution

The third proportional to 171,722 and 252,441.50 is: 371,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,722 : 252,441.50 = 252,441.50 : x
  2. Step 2: Convert to fraction form
    171,722/252,441.50 = 252,441.50/x
  3. Step 3: Cross multiply
    171,722x = 252,441.50 × 252,441.50
  4. Step 4: Simplify right side
    171,722x = 63,726,710,922.25
  5. Step 5: Solve for x
    x = 63,726,710,922.25/171,722
  6. Step 6: Final answer
    x = 371,103.94

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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.