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Finding the Third Proportional to 167,809.50 and 252,261

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Solution

The third proportional to 167,809.50 and 252,261 is: 379,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,809.50 : 252,261 = 252,261 : x
  2. Step 2: Convert to fraction form
    167,809.50/252,261 = 252,261/x
  3. Step 3: Cross multiply
    167,809.50x = 252,261 × 252,261
  4. Step 4: Simplify right side
    167,809.50x = 63,635,612,121
  5. Step 5: Solve for x
    x = 63,635,612,121/167,809.50
  6. Step 6: Final answer
    x = 379,213.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.