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Finding the Third Proportional to 325,149.19 and 500,162.34

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Solution

The third proportional to 325,149.19 and 500,162.34 is: 769,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,149.19 : 500,162.34 = 500,162.34 : x
  2. Step 2: Convert to fraction form
    325,149.19/500,162.34 = 500,162.34/x
  3. Step 3: Cross multiply
    325,149.19x = 500,162.34 × 500,162.34
  4. Step 4: Simplify right side
    325,149.19x = 250,162,370,105.49
  5. Step 5: Solve for x
    x = 250,162,370,105.49/325,149.19
  6. Step 6: Final answer
    x = 769,377.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.