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Finding the Third Proportional to 83,426 and 183,474

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Solution

The third proportional to 83,426 and 183,474 is: 403,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,426 : 183,474 = 183,474 : x
  2. Step 2: Convert to fraction form
    83,426/183,474 = 183,474/x
  3. Step 3: Cross multiply
    83,426x = 183,474 × 183,474
  4. Step 4: Simplify right side
    83,426x = 33,662,708,676
  5. Step 5: Solve for x
    x = 33,662,708,676/83,426
  6. Step 6: Final answer
    x = 403,503.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.