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Finding the Third Proportional to 160,249.50 and 232,106.25

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Solution

The third proportional to 160,249.50 and 232,106.25 is: 336,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,249.50 : 232,106.25 = 232,106.25 : x
  2. Step 2: Convert to fraction form
    160,249.50/232,106.25 = 232,106.25/x
  3. Step 3: Cross multiply
    160,249.50x = 232,106.25 × 232,106.25
  4. Step 4: Simplify right side
    160,249.50x = 53,873,311,289.06
  5. Step 5: Solve for x
    x = 53,873,311,289.06/160,249.50
  6. Step 6: Final answer
    x = 336,183.96

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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.