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Finding the Third Proportional to 165,350 and 356,890

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Solution

The third proportional to 165,350 and 356,890 is: 770,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,350 : 356,890 = 356,890 : x
  2. Step 2: Convert to fraction form
    165,350/356,890 = 356,890/x
  3. Step 3: Cross multiply
    165,350x = 356,890 × 356,890
  4. Step 4: Simplify right side
    165,350x = 127,370,472,100
  5. Step 5: Solve for x
    x = 127,370,472,100/165,350
  6. Step 6: Final answer
    x = 770,308.27

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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.