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Finding the Third Proportional to 165,813 and 355,266

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Solution

The third proportional to 165,813 and 355,266 is: 761,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,813 : 355,266 = 355,266 : x
  2. Step 2: Convert to fraction form
    165,813/355,266 = 355,266/x
  3. Step 3: Cross multiply
    165,813x = 355,266 × 355,266
  4. Step 4: Simplify right side
    165,813x = 126,213,930,756
  5. Step 5: Solve for x
    x = 126,213,930,756/165,813
  6. Step 6: Final answer
    x = 761,182.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.