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Finding the Third Proportional to 160,708 and 244,806

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Solution

The third proportional to 160,708 and 244,806 is: 372,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,708 : 244,806 = 244,806 : x
  2. Step 2: Convert to fraction form
    160,708/244,806 = 244,806/x
  3. Step 3: Cross multiply
    160,708x = 244,806 × 244,806
  4. Step 4: Simplify right side
    160,708x = 59,929,977,636
  5. Step 5: Solve for x
    x = 59,929,977,636/160,708
  6. Step 6: Final answer
    x = 372,912.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.