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Finding the Third Proportional to 166,193 and 360,574

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Solution

The third proportional to 166,193 and 360,574 is: 782,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,193 : 360,574 = 360,574 : x
  2. Step 2: Convert to fraction form
    166,193/360,574 = 360,574/x
  3. Step 3: Cross multiply
    166,193x = 360,574 × 360,574
  4. Step 4: Simplify right side
    166,193x = 130,013,609,476
  5. Step 5: Solve for x
    x = 130,013,609,476/166,193
  6. Step 6: Final answer
    x = 782,304.97

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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.