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Finding the Third Proportional to 92,314 and 200,828

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Solution

The third proportional to 92,314 and 200,828 is: 436,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,314 : 200,828 = 200,828 : x
  2. Step 2: Convert to fraction form
    92,314/200,828 = 200,828/x
  3. Step 3: Cross multiply
    92,314x = 200,828 × 200,828
  4. Step 4: Simplify right side
    92,314x = 40,331,885,584
  5. Step 5: Solve for x
    x = 40,331,885,584/92,314
  6. Step 6: Final answer
    x = 436,898.91

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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.