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Finding the Third Proportional to 85,313 and 199,302

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Solution

The third proportional to 85,313 and 199,302 is: 465,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,313 : 199,302 = 199,302 : x
  2. Step 2: Convert to fraction form
    85,313/199,302 = 199,302/x
  3. Step 3: Cross multiply
    85,313x = 199,302 × 199,302
  4. Step 4: Simplify right side
    85,313x = 39,721,287,204
  5. Step 5: Solve for x
    x = 39,721,287,204/85,313
  6. Step 6: Final answer
    x = 465,594.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.