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Finding the Third Proportional to 166,711.50 and 360,074.25

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Solution

The third proportional to 166,711.50 and 360,074.25 is: 777,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,711.50 : 360,074.25 = 360,074.25 : x
  2. Step 2: Convert to fraction form
    166,711.50/360,074.25 = 360,074.25/x
  3. Step 3: Cross multiply
    166,711.50x = 360,074.25 × 360,074.25
  4. Step 4: Simplify right side
    166,711.50x = 129,653,465,513.06
  5. Step 5: Solve for x
    x = 129,653,465,513.06/166,711.50
  6. Step 6: Final answer
    x = 777,711.59

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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.