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Finding the Third Proportional to 83,562 and 182,368

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Solution

The third proportional to 83,562 and 182,368 is: 398,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,562 : 182,368 = 182,368 : x
  2. Step 2: Convert to fraction form
    83,562/182,368 = 182,368/x
  3. Step 3: Cross multiply
    83,562x = 182,368 × 182,368
  4. Step 4: Simplify right side
    83,562x = 33,258,087,424
  5. Step 5: Solve for x
    x = 33,258,087,424/83,562
  6. Step 6: Final answer
    x = 398,004.92

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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.