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Finding the Third Proportional to 195,990.50 and 276,006.13

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Solution

The third proportional to 195,990.50 and 276,006.13 is: 388,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,990.50 : 276,006.13 = 276,006.13 : x
  2. Step 2: Convert to fraction form
    195,990.50/276,006.13 = 276,006.13/x
  3. Step 3: Cross multiply
    195,990.50x = 276,006.13 × 276,006.13
  4. Step 4: Simplify right side
    195,990.50x = 76,179,381,037.52
  5. Step 5: Solve for x
    x = 76,179,381,037.52/195,990.50
  6. Step 6: Final answer
    x = 388,689.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.