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Finding the Third Proportional to 165,382 and 363,164

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Solution

The third proportional to 165,382 and 363,164 is: 797,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,382 : 363,164 = 363,164 : x
  2. Step 2: Convert to fraction form
    165,382/363,164 = 363,164/x
  3. Step 3: Cross multiply
    165,382x = 363,164 × 363,164
  4. Step 4: Simplify right side
    165,382x = 131,888,090,896
  5. Step 5: Solve for x
    x = 131,888,090,896/165,382
  6. Step 6: Final answer
    x = 797,475.49

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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.