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Finding the Third Proportional to 74,608 and 160,259

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Solution

The third proportional to 74,608 and 160,259 is: 344,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,608 : 160,259 = 160,259 : x
  2. Step 2: Convert to fraction form
    74,608/160,259 = 160,259/x
  3. Step 3: Cross multiply
    74,608x = 160,259 × 160,259
  4. Step 4: Simplify right side
    74,608x = 25,682,947,081
  5. Step 5: Solve for x
    x = 25,682,947,081/74,608
  6. Step 6: Final answer
    x = 344,238.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.