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Finding the Third Proportional to 83,826 and 182,716

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Solution

The third proportional to 83,826 and 182,716 is: 398,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,826 : 182,716 = 182,716 : x
  2. Step 2: Convert to fraction form
    83,826/182,716 = 182,716/x
  3. Step 3: Cross multiply
    83,826x = 182,716 × 182,716
  4. Step 4: Simplify right side
    83,826x = 33,385,136,656
  5. Step 5: Solve for x
    x = 33,385,136,656/83,826
  6. Step 6: Final answer
    x = 398,267.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.