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Finding the Third Proportional to 165,514 and 350,890

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Solution

The third proportional to 165,514 and 350,890 is: 743,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,514 : 350,890 = 350,890 : x
  2. Step 2: Convert to fraction form
    165,514/350,890 = 350,890/x
  3. Step 3: Cross multiply
    165,514x = 350,890 × 350,890
  4. Step 4: Simplify right side
    165,514x = 123,123,792,100
  5. Step 5: Solve for x
    x = 123,123,792,100/165,514
  6. Step 6: Final answer
    x = 743,887.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.