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Finding the Third Proportional to 166,823.25 and 366,856.13

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Solution

The third proportional to 166,823.25 and 366,856.13 is: 806,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,823.25 : 366,856.13 = 366,856.13 : x
  2. Step 2: Convert to fraction form
    166,823.25/366,856.13 = 366,856.13/x
  3. Step 3: Cross multiply
    166,823.25x = 366,856.13 × 366,856.13
  4. Step 4: Simplify right side
    166,823.25x = 134,583,416,450.02
  5. Step 5: Solve for x
    x = 134,583,416,450.02/166,823.25
  6. Step 6: Final answer
    x = 806,742.56

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Why These Related Problems?

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