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Finding the Third Proportional to 92,858 and 200,494

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Solution

The third proportional to 92,858 and 200,494 is: 432,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,858 : 200,494 = 200,494 : x
  2. Step 2: Convert to fraction form
    92,858/200,494 = 200,494/x
  3. Step 3: Cross multiply
    92,858x = 200,494 × 200,494
  4. Step 4: Simplify right side
    92,858x = 40,197,844,036
  5. Step 5: Solve for x
    x = 40,197,844,036/92,858
  6. Step 6: Final answer
    x = 432,895.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.