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Finding the Third Proportional to 165,374 and 363,148

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Solution

The third proportional to 165,374 and 363,148 is: 797,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,374 : 363,148 = 363,148 : x
  2. Step 2: Convert to fraction form
    165,374/363,148 = 363,148/x
  3. Step 3: Cross multiply
    165,374x = 363,148 × 363,148
  4. Step 4: Simplify right side
    165,374x = 131,876,469,904
  5. Step 5: Solve for x
    x = 131,876,469,904/165,374
  6. Step 6: Final answer
    x = 797,443.79

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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.