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Finding the Third Proportional to 160,137 and 231,943.50

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Solution

The third proportional to 160,137 and 231,943.50 is: 335,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,137 : 231,943.50 = 231,943.50 : x
  2. Step 2: Convert to fraction form
    160,137/231,943.50 = 231,943.50/x
  3. Step 3: Cross multiply
    160,137x = 231,943.50 × 231,943.50
  4. Step 4: Simplify right side
    160,137x = 53,797,787,192.25
  5. Step 5: Solve for x
    x = 53,797,787,192.25/160,137
  6. Step 6: Final answer
    x = 335,948.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.