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Finding the Third Proportional to 165,556 and 368,584

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Solution

The third proportional to 165,556 and 368,584 is: 820,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,556 : 368,584 = 368,584 : x
  2. Step 2: Convert to fraction form
    165,556/368,584 = 368,584/x
  3. Step 3: Cross multiply
    165,556x = 368,584 × 368,584
  4. Step 4: Simplify right side
    165,556x = 135,854,165,056
  5. Step 5: Solve for x
    x = 135,854,165,056/165,556
  6. Step 6: Final answer
    x = 820,593.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.