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Finding the Third Proportional to 165,648.16 and 363,838.39

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Solution

The third proportional to 165,648.16 and 363,838.39 is: 799,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,648.16 : 363,838.39 = 363,838.39 : x
  2. Step 2: Convert to fraction form
    165,648.16/363,838.39 = 363,838.39/x
  3. Step 3: Cross multiply
    165,648.16x = 363,838.39 × 363,838.39
  4. Step 4: Simplify right side
    165,648.16x = 132,378,377,335.07
  5. Step 5: Solve for x
    x = 132,378,377,335.07/165,648.16
  6. Step 6: Final answer
    x = 799,153.91

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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.