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Finding the Third Proportional to 199,496.25 and 305,209.69

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Solution

The third proportional to 199,496.25 and 305,209.69 is: 466,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,496.25 : 305,209.69 = 305,209.69 : x
  2. Step 2: Convert to fraction form
    199,496.25/305,209.69 = 305,209.69/x
  3. Step 3: Cross multiply
    199,496.25x = 305,209.69 × 305,209.69
  4. Step 4: Simplify right side
    199,496.25x = 93,152,953,343.85
  5. Step 5: Solve for x
    x = 93,152,953,343.85/199,496.25
  6. Step 6: Final answer
    x = 466,940.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.