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Finding the Third Proportional to 92,408 and 202,494

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Solution

The third proportional to 92,408 and 202,494 is: 443,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,408 : 202,494 = 202,494 : x
  2. Step 2: Convert to fraction form
    92,408/202,494 = 202,494/x
  3. Step 3: Cross multiply
    92,408x = 202,494 × 202,494
  4. Step 4: Simplify right side
    92,408x = 41,003,820,036
  5. Step 5: Solve for x
    x = 41,003,820,036/92,408
  6. Step 6: Final answer
    x = 443,725.87

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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.