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Finding the Third Proportional to 92,450 and 218,165

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Solution

The third proportional to 92,450 and 218,165 is: 514,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,450 : 218,165 = 218,165 : x
  2. Step 2: Convert to fraction form
    92,450/218,165 = 218,165/x
  3. Step 3: Cross multiply
    92,450x = 218,165 × 218,165
  4. Step 4: Simplify right side
    92,450x = 47,595,967,225
  5. Step 5: Solve for x
    x = 47,595,967,225/92,450
  6. Step 6: Final answer
    x = 514,829.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.