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Finding the Third Proportional to 92,306 and 202,180

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Solution

The third proportional to 92,306 and 202,180 is: 442,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,306 : 202,180 = 202,180 : x
  2. Step 2: Convert to fraction form
    92,306/202,180 = 202,180/x
  3. Step 3: Cross multiply
    92,306x = 202,180 × 202,180
  4. Step 4: Simplify right side
    92,306x = 40,876,752,400
  5. Step 5: Solve for x
    x = 40,876,752,400/92,306
  6. Step 6: Final answer
    x = 442,839.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.