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Finding the Third Proportional to 80,725.50 and 175,983.75

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Solution

The third proportional to 80,725.50 and 175,983.75 is: 383,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,725.50 : 175,983.75 = 175,983.75 : x
  2. Step 2: Convert to fraction form
    80,725.50/175,983.75 = 175,983.75/x
  3. Step 3: Cross multiply
    80,725.50x = 175,983.75 × 175,983.75
  4. Step 4: Simplify right side
    80,725.50x = 30,970,280,264.06
  5. Step 5: Solve for x
    x = 30,970,280,264.06/80,725.50
  6. Step 6: Final answer
    x = 383,649.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.