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Finding the Third Proportional to 171,236.25 and 268,609.50

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Solution

The third proportional to 171,236.25 and 268,609.50 is: 421,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,236.25 : 268,609.50 = 268,609.50 : x
  2. Step 2: Convert to fraction form
    171,236.25/268,609.50 = 268,609.50/x
  3. Step 3: Cross multiply
    171,236.25x = 268,609.50 × 268,609.50
  4. Step 4: Simplify right side
    171,236.25x = 72,151,063,490.25
  5. Step 5: Solve for x
    x = 72,151,063,490.25/171,236.25
  6. Step 6: Final answer
    x = 421,353.91

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.