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Finding the Third Proportional to 92,682 and 202,359

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Solution

The third proportional to 92,682 and 202,359 is: 441,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,682 : 202,359 = 202,359 : x
  2. Step 2: Convert to fraction form
    92,682/202,359 = 202,359/x
  3. Step 3: Cross multiply
    92,682x = 202,359 × 202,359
  4. Step 4: Simplify right side
    92,682x = 40,949,164,881
  5. Step 5: Solve for x
    x = 40,949,164,881/92,682
  6. Step 6: Final answer
    x = 441,824.36

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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.