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Finding the Third Proportional to 83,574 and 182,394

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Solution

The third proportional to 83,574 and 182,394 is: 398,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574 : 182,394 = 182,394 : x
  2. Step 2: Convert to fraction form
    83,574/182,394 = 182,394/x
  3. Step 3: Cross multiply
    83,574x = 182,394 × 182,394
  4. Step 4: Simplify right side
    83,574x = 33,267,571,236
  5. Step 5: Solve for x
    x = 33,267,571,236/83,574
  6. Step 6: Final answer
    x = 398,061.25

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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.