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Finding the Third Proportional to 166,633 and 366,502

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Solution

The third proportional to 166,633 and 366,502 is: 806,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,633 : 366,502 = 366,502 : x
  2. Step 2: Convert to fraction form
    166,633/366,502 = 366,502/x
  3. Step 3: Cross multiply
    166,633x = 366,502 × 366,502
  4. Step 4: Simplify right side
    166,633x = 134,323,716,004
  5. Step 5: Solve for x
    x = 134,323,716,004/166,633
  6. Step 6: Final answer
    x = 806,105.13

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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.