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Finding the Third Proportional to 148,450.50 and 311,481

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Solution

The third proportional to 148,450.50 and 311,481 is: 653,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,450.50 : 311,481 = 311,481 : x
  2. Step 2: Convert to fraction form
    148,450.50/311,481 = 311,481/x
  3. Step 3: Cross multiply
    148,450.50x = 311,481 × 311,481
  4. Step 4: Simplify right side
    148,450.50x = 97,020,413,361
  5. Step 5: Solve for x
    x = 97,020,413,361/148,450.50
  6. Step 6: Final answer
    x = 653,553.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.