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Finding the Third Proportional to 166,221 and 360,265

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Solution

The third proportional to 166,221 and 360,265 is: 780,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,221 : 360,265 = 360,265 : x
  2. Step 2: Convert to fraction form
    166,221/360,265 = 360,265/x
  3. Step 3: Cross multiply
    166,221x = 360,265 × 360,265
  4. Step 4: Simplify right side
    166,221x = 129,790,870,225
  5. Step 5: Solve for x
    x = 129,790,870,225/166,221
  6. Step 6: Final answer
    x = 780,833.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.