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Finding the Third Proportional to 160,743 and 226,426.50

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Solution

The third proportional to 160,743 and 226,426.50 is: 318,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,743 : 226,426.50 = 226,426.50 : x
  2. Step 2: Convert to fraction form
    160,743/226,426.50 = 226,426.50/x
  3. Step 3: Cross multiply
    160,743x = 226,426.50 × 226,426.50
  4. Step 4: Simplify right side
    160,743x = 51,268,959,902.25
  5. Step 5: Solve for x
    x = 51,268,959,902.25/160,743
  6. Step 6: Final answer
    x = 318,949.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.