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Finding the Third Proportional to 177,216.50 and 269,521

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Solution

The third proportional to 177,216.50 and 269,521 is: 409,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,216.50 : 269,521 = 269,521 : x
  2. Step 2: Convert to fraction form
    177,216.50/269,521 = 269,521/x
  3. Step 3: Cross multiply
    177,216.50x = 269,521 × 269,521
  4. Step 4: Simplify right side
    177,216.50x = 72,641,569,441
  5. Step 5: Solve for x
    x = 72,641,569,441/177,216.50
  6. Step 6: Final answer
    x = 409,902.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.