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Finding the Third Proportional to 149,869.50 and 313,594.13

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Solution

The third proportional to 149,869.50 and 313,594.13 is: 656,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,869.50 : 313,594.13 = 313,594.13 : x
  2. Step 2: Convert to fraction form
    149,869.50/313,594.13 = 313,594.13/x
  3. Step 3: Cross multiply
    149,869.50x = 313,594.13 × 313,594.13
  4. Step 4: Simplify right side
    149,869.50x = 98,341,275,234.52
  5. Step 5: Solve for x
    x = 98,341,275,234.52/149,869.50
  6. Step 6: Final answer
    x = 656,179.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.