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Finding the Third Proportional to 166,626 and 355,396

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Solution

The third proportional to 166,626 and 355,396 is: 758,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,626 : 355,396 = 355,396 : x
  2. Step 2: Convert to fraction form
    166,626/355,396 = 355,396/x
  3. Step 3: Cross multiply
    166,626x = 355,396 × 355,396
  4. Step 4: Simplify right side
    166,626x = 126,306,316,816
  5. Step 5: Solve for x
    x = 126,306,316,816/166,626
  6. Step 6: Final answer
    x = 758,022.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.