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Finding the Third Proportional to 166,294 and 256,822

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Solution

The third proportional to 166,294 and 256,822 is: 396,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,294 : 256,822 = 256,822 : x
  2. Step 2: Convert to fraction form
    166,294/256,822 = 256,822/x
  3. Step 3: Cross multiply
    166,294x = 256,822 × 256,822
  4. Step 4: Simplify right side
    166,294x = 65,957,539,684
  5. Step 5: Solve for x
    x = 65,957,539,684/166,294
  6. Step 6: Final answer
    x = 396,632.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.