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Finding the Third Proportional to 84,581.25 and 200,376

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Solution

The third proportional to 84,581.25 and 200,376 is: 474,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,581.25 : 200,376 = 200,376 : x
  2. Step 2: Convert to fraction form
    84,581.25/200,376 = 200,376/x
  3. Step 3: Cross multiply
    84,581.25x = 200,376 × 200,376
  4. Step 4: Simplify right side
    84,581.25x = 40,150,541,376
  5. Step 5: Solve for x
    x = 40,150,541,376/84,581.25
  6. Step 6: Final answer
    x = 474,697.90

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.