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Finding the Third Proportional to 104,833.50 and 226,353

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Solution

The third proportional to 104,833.50 and 226,353 is: 488,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,833.50 : 226,353 = 226,353 : x
  2. Step 2: Convert to fraction form
    104,833.50/226,353 = 226,353/x
  3. Step 3: Cross multiply
    104,833.50x = 226,353 × 226,353
  4. Step 4: Simplify right side
    104,833.50x = 51,235,680,609
  5. Step 5: Solve for x
    x = 51,235,680,609/104,833.50
  6. Step 6: Final answer
    x = 488,733.86

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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.