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Finding the Third Proportional to 166,080 and 363,336

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Solution

The third proportional to 166,080 and 363,336 is: 794,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,080 : 363,336 = 363,336 : x
  2. Step 2: Convert to fraction form
    166,080/363,336 = 363,336/x
  3. Step 3: Cross multiply
    166,080x = 363,336 × 363,336
  4. Step 4: Simplify right side
    166,080x = 132,013,048,896
  5. Step 5: Solve for x
    x = 132,013,048,896/166,080
  6. Step 6: Final answer
    x = 794,876.26

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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.