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Finding the Third Proportional to 103,920.50 and 223,285

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Solution

The third proportional to 103,920.50 and 223,285 is: 479,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,920.50 : 223,285 = 223,285 : x
  2. Step 2: Convert to fraction form
    103,920.50/223,285 = 223,285/x
  3. Step 3: Cross multiply
    103,920.50x = 223,285 × 223,285
  4. Step 4: Simplify right side
    103,920.50x = 49,856,191,225
  5. Step 5: Solve for x
    x = 49,856,191,225/103,920.50
  6. Step 6: Final answer
    x = 479,753.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.