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Finding the Third Proportional to 195,499.83 and 312,219.56

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Solution

The third proportional to 195,499.83 and 312,219.56 is: 498,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,499.83 : 312,219.56 = 312,219.56 : x
  2. Step 2: Convert to fraction form
    195,499.83/312,219.56 = 312,219.56/x
  3. Step 3: Cross multiply
    195,499.83x = 312,219.56 × 312,219.56
  4. Step 4: Simplify right side
    195,499.83x = 97,481,055,207.69
  5. Step 5: Solve for x
    x = 97,481,055,207.69/195,499.83
  6. Step 6: Final answer
    x = 498,624.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.