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Finding the Third Proportional to 195,842.81 and 311,260.22

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Solution

The third proportional to 195,842.81 and 311,260.22 is: 494,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,842.81 : 311,260.22 = 311,260.22 : x
  2. Step 2: Convert to fraction form
    195,842.81/311,260.22 = 311,260.22/x
  3. Step 3: Cross multiply
    195,842.81x = 311,260.22 × 311,260.22
  4. Step 4: Simplify right side
    195,842.81x = 96,882,923,776.30
  5. Step 5: Solve for x
    x = 96,882,923,776.30/195,842.81
  6. Step 6: Final answer
    x = 494,697.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.