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Finding the Third Proportional to 166,636 and 366,508

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Solution

The third proportional to 166,636 and 366,508 is: 806,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,636 : 366,508 = 366,508 : x
  2. Step 2: Convert to fraction form
    166,636/366,508 = 366,508/x
  3. Step 3: Cross multiply
    166,636x = 366,508 × 366,508
  4. Step 4: Simplify right side
    166,636x = 134,328,114,064
  5. Step 5: Solve for x
    x = 134,328,114,064/166,636
  6. Step 6: Final answer
    x = 806,117.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.