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Finding the Third Proportional to 148,041 and 209,560.50

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Solution

The third proportional to 148,041 and 209,560.50 is: 296,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,041 : 209,560.50 = 209,560.50 : x
  2. Step 2: Convert to fraction form
    148,041/209,560.50 = 209,560.50/x
  3. Step 3: Cross multiply
    148,041x = 209,560.50 × 209,560.50
  4. Step 4: Simplify right side
    148,041x = 43,915,603,160.25
  5. Step 5: Solve for x
    x = 43,915,603,160.25/148,041
  6. Step 6: Final answer
    x = 296,644.87

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.