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Finding the Third Proportional to 150,724.50 and 204,687

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Solution

The third proportional to 150,724.50 and 204,687 is: 277,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,724.50 : 204,687 = 204,687 : x
  2. Step 2: Convert to fraction form
    150,724.50/204,687 = 204,687/x
  3. Step 3: Cross multiply
    150,724.50x = 204,687 × 204,687
  4. Step 4: Simplify right side
    150,724.50x = 41,896,767,969
  5. Step 5: Solve for x
    x = 41,896,767,969/150,724.50
  6. Step 6: Final answer
    x = 277,969.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.