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Finding the Third Proportional to 165,384 and 363,168

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Solution

The third proportional to 165,384 and 363,168 is: 797,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,384 : 363,168 = 363,168 : x
  2. Step 2: Convert to fraction form
    165,384/363,168 = 363,168/x
  3. Step 3: Cross multiply
    165,384x = 363,168 × 363,168
  4. Step 4: Simplify right side
    165,384x = 131,890,996,224
  5. Step 5: Solve for x
    x = 131,890,996,224/165,384
  6. Step 6: Final answer
    x = 797,483.41

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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.