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Finding the Third Proportional to 94,846 and 201,374

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Solution

The third proportional to 94,846 and 201,374 is: 427,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,846 : 201,374 = 201,374 : x
  2. Step 2: Convert to fraction form
    94,846/201,374 = 201,374/x
  3. Step 3: Cross multiply
    94,846x = 201,374 × 201,374
  4. Step 4: Simplify right side
    94,846x = 40,551,487,876
  5. Step 5: Solve for x
    x = 40,551,487,876/94,846
  6. Step 6: Final answer
    x = 427,550.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.