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Finding the Third Proportional to 159,517.50 and 350,481

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Solution

The third proportional to 159,517.50 and 350,481 is: 770,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,517.50 : 350,481 = 350,481 : x
  2. Step 2: Convert to fraction form
    159,517.50/350,481 = 350,481/x
  3. Step 3: Cross multiply
    159,517.50x = 350,481 × 350,481
  4. Step 4: Simplify right side
    159,517.50x = 122,836,931,361
  5. Step 5: Solve for x
    x = 122,836,931,361/159,517.50
  6. Step 6: Final answer
    x = 770,053.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.