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Finding the Third Proportional to 166,697.25 and 360,049.50

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Solution

The third proportional to 166,697.25 and 360,049.50 is: 777,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,697.25 : 360,049.50 = 360,049.50 : x
  2. Step 2: Convert to fraction form
    166,697.25/360,049.50 = 360,049.50/x
  3. Step 3: Cross multiply
    166,697.25x = 360,049.50 × 360,049.50
  4. Step 4: Simplify right side
    166,697.25x = 129,635,642,450.25
  5. Step 5: Solve for x
    x = 129,635,642,450.25/166,697.25
  6. Step 6: Final answer
    x = 777,671.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.