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Finding the Third Proportional to 150,734.25 and 313,872.75

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Solution

The third proportional to 150,734.25 and 313,872.75 is: 653,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,734.25 : 313,872.75 = 313,872.75 : x
  2. Step 2: Convert to fraction form
    150,734.25/313,872.75 = 313,872.75/x
  3. Step 3: Cross multiply
    150,734.25x = 313,872.75 × 313,872.75
  4. Step 4: Simplify right side
    150,734.25x = 98,516,103,192.56
  5. Step 5: Solve for x
    x = 98,516,103,192.56/150,734.25
  6. Step 6: Final answer
    x = 653,574.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.