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Finding the Third Proportional to 92,500 and 203,184

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Solution

The third proportional to 92,500 and 203,184 is: 446,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,500 : 203,184 = 203,184 : x
  2. Step 2: Convert to fraction form
    92,500/203,184 = 203,184/x
  3. Step 3: Cross multiply
    92,500x = 203,184 × 203,184
  4. Step 4: Simplify right side
    92,500x = 41,283,737,856
  5. Step 5: Solve for x
    x = 41,283,737,856/92,500
  6. Step 6: Final answer
    x = 446,310.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.