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Finding the Third Proportional to 150,559.31 and 221,679.42

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Solution

The third proportional to 150,559.31 and 221,679.42 is: 326,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,559.31 : 221,679.42 = 221,679.42 : x
  2. Step 2: Convert to fraction form
    150,559.31/221,679.42 = 221,679.42/x
  3. Step 3: Cross multiply
    150,559.31x = 221,679.42 × 221,679.42
  4. Step 4: Simplify right side
    150,559.31x = 49,141,766,082.83
  5. Step 5: Solve for x
    x = 49,141,766,082.83/150,559.31
  6. Step 6: Final answer
    x = 326,394.73

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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.