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Finding the Third Proportional to 165,386 and 363,172

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Solution

The third proportional to 165,386 and 363,172 is: 797,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,386 : 363,172 = 363,172 : x
  2. Step 2: Convert to fraction form
    165,386/363,172 = 363,172/x
  3. Step 3: Cross multiply
    165,386x = 363,172 × 363,172
  4. Step 4: Simplify right side
    165,386x = 131,893,901,584
  5. Step 5: Solve for x
    x = 131,893,901,584/165,386
  6. Step 6: Final answer
    x = 797,491.33

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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.