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Finding the Third Proportional to 195,704.13 and 303,025.65

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Solution

The third proportional to 195,704.13 and 303,025.65 is: 469,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,704.13 : 303,025.65 = 303,025.65 : x
  2. Step 2: Convert to fraction form
    195,704.13/303,025.65 = 303,025.65/x
  3. Step 3: Cross multiply
    195,704.13x = 303,025.65 × 303,025.65
  4. Step 4: Simplify right side
    195,704.13x = 91,824,545,978.36
  5. Step 5: Solve for x
    x = 91,824,545,978.36/195,704.13
  6. Step 6: Final answer
    x = 469,200.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.