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Finding the Third Proportional to 159,250 and 345,067.75

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Solution

The third proportional to 159,250 and 345,067.75 is: 747,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,250 : 345,067.75 = 345,067.75 : x
  2. Step 2: Convert to fraction form
    159,250/345,067.75 = 345,067.75/x
  3. Step 3: Cross multiply
    159,250x = 345,067.75 × 345,067.75
  4. Step 4: Simplify right side
    159,250x = 119,071,752,090.06
  5. Step 5: Solve for x
    x = 119,071,752,090.06/159,250
  6. Step 6: Final answer
    x = 747,703.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.