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Finding the Third Proportional to 166,356 and 363,496

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Solution

The third proportional to 166,356 and 363,496 is: 794,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,356 : 363,496 = 363,496 : x
  2. Step 2: Convert to fraction form
    166,356/363,496 = 363,496/x
  3. Step 3: Cross multiply
    166,356x = 363,496 × 363,496
  4. Step 4: Simplify right side
    166,356x = 132,129,342,016
  5. Step 5: Solve for x
    x = 132,129,342,016/166,356
  6. Step 6: Final answer
    x = 794,256.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.