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Finding the Third Proportional to 159,839.25 and 349,779.75

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Solution

The third proportional to 159,839.25 and 349,779.75 is: 765,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,839.25 : 349,779.75 = 349,779.75 : x
  2. Step 2: Convert to fraction form
    159,839.25/349,779.75 = 349,779.75/x
  3. Step 3: Cross multiply
    159,839.25x = 349,779.75 × 349,779.75
  4. Step 4: Simplify right side
    159,839.25x = 122,345,873,510.06
  5. Step 5: Solve for x
    x = 122,345,873,510.06/159,839.25
  6. Step 6: Final answer
    x = 765,430.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.