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Finding the Third Proportional to 102,610.50 and 225,450

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Solution

The third proportional to 102,610.50 and 225,450 is: 495,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,610.50 : 225,450 = 225,450 : x
  2. Step 2: Convert to fraction form
    102,610.50/225,450 = 225,450/x
  3. Step 3: Cross multiply
    102,610.50x = 225,450 × 225,450
  4. Step 4: Simplify right side
    102,610.50x = 50,827,702,500
  5. Step 5: Solve for x
    x = 50,827,702,500/102,610.50
  6. Step 6: Final answer
    x = 495,346.02

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