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Finding the Third Proportional to 165,267 and 356,778

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Solution

The third proportional to 165,267 and 356,778 is: 770,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,267 : 356,778 = 356,778 : x
  2. Step 2: Convert to fraction form
    165,267/356,778 = 356,778/x
  3. Step 3: Cross multiply
    165,267x = 356,778 × 356,778
  4. Step 4: Simplify right side
    165,267x = 127,290,541,284
  5. Step 5: Solve for x
    x = 127,290,541,284/165,267
  6. Step 6: Final answer
    x = 770,211.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.