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Finding the Third Proportional to 85,426 and 199,591

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Solution

The third proportional to 85,426 and 199,591 is: 466,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,426 : 199,591 = 199,591 : x
  2. Step 2: Convert to fraction form
    85,426/199,591 = 199,591/x
  3. Step 3: Cross multiply
    85,426x = 199,591 × 199,591
  4. Step 4: Simplify right side
    85,426x = 39,836,567,281
  5. Step 5: Solve for x
    x = 39,836,567,281/85,426
  6. Step 6: Final answer
    x = 466,328.37

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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.