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Finding the Third Proportional to 166,186 and 360,412

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Solution

The third proportional to 166,186 and 360,412 is: 781,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,186 : 360,412 = 360,412 : x
  2. Step 2: Convert to fraction form
    166,186/360,412 = 360,412/x
  3. Step 3: Cross multiply
    166,186x = 360,412 × 360,412
  4. Step 4: Simplify right side
    166,186x = 129,896,809,744
  5. Step 5: Solve for x
    x = 129,896,809,744/166,186
  6. Step 6: Final answer
    x = 781,635.09

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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.