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Finding the Third Proportional to 167,533.50 and 259,077

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Solution

The third proportional to 167,533.50 and 259,077 is: 400,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,533.50 : 259,077 = 259,077 : x
  2. Step 2: Convert to fraction form
    167,533.50/259,077 = 259,077/x
  3. Step 3: Cross multiply
    167,533.50x = 259,077 × 259,077
  4. Step 4: Simplify right side
    167,533.50x = 67,120,891,929
  5. Step 5: Solve for x
    x = 67,120,891,929/167,533.50
  6. Step 6: Final answer
    x = 400,641.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.