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Finding the Third Proportional to 84,892.50 and 230,861.25

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Solution

The third proportional to 84,892.50 and 230,861.25 is: 627,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,892.50 : 230,861.25 = 230,861.25 : x
  2. Step 2: Convert to fraction form
    84,892.50/230,861.25 = 230,861.25/x
  3. Step 3: Cross multiply
    84,892.50x = 230,861.25 × 230,861.25
  4. Step 4: Simplify right side
    84,892.50x = 53,296,916,751.56
  5. Step 5: Solve for x
    x = 53,296,916,751.56/84,892.50
  6. Step 6: Final answer
    x = 627,816.55

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.