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Finding the Third Proportional to 163,456.50 and 225,096

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Solution

The third proportional to 163,456.50 and 225,096 is: 309,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,456.50 : 225,096 = 225,096 : x
  2. Step 2: Convert to fraction form
    163,456.50/225,096 = 225,096/x
  3. Step 3: Cross multiply
    163,456.50x = 225,096 × 225,096
  4. Step 4: Simplify right side
    163,456.50x = 50,668,209,216
  5. Step 5: Solve for x
    x = 50,668,209,216/163,456.50
  6. Step 6: Final answer
    x = 309,979.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.