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Finding the Third Proportional to 104,371.50 and 223,500

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Solution

The third proportional to 104,371.50 and 223,500 is: 478,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,371.50 : 223,500 = 223,500 : x
  2. Step 2: Convert to fraction form
    104,371.50/223,500 = 223,500/x
  3. Step 3: Cross multiply
    104,371.50x = 223,500 × 223,500
  4. Step 4: Simplify right side
    104,371.50x = 49,952,250,000
  5. Step 5: Solve for x
    x = 49,952,250,000/104,371.50
  6. Step 6: Final answer
    x = 478,600.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.