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Finding the Third Proportional to 167,589 and 382,882.50

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Solution

The third proportional to 167,589 and 382,882.50 is: 874,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,589 : 382,882.50 = 382,882.50 : x
  2. Step 2: Convert to fraction form
    167,589/382,882.50 = 382,882.50/x
  3. Step 3: Cross multiply
    167,589x = 382,882.50 × 382,882.50
  4. Step 4: Simplify right side
    167,589x = 146,599,008,806.25
  5. Step 5: Solve for x
    x = 146,599,008,806.25/167,589
  6. Step 6: Final answer
    x = 874,753.17

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.