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Finding the Third Proportional to 151,329 and 212,082.75

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Solution

The third proportional to 151,329 and 212,082.75 is: 297,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,329 : 212,082.75 = 212,082.75 : x
  2. Step 2: Convert to fraction form
    151,329/212,082.75 = 212,082.75/x
  3. Step 3: Cross multiply
    151,329x = 212,082.75 × 212,082.75
  4. Step 4: Simplify right side
    151,329x = 44,979,092,847.56
  5. Step 5: Solve for x
    x = 44,979,092,847.56/151,329
  6. Step 6: Final answer
    x = 297,227.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.