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Finding the Third Proportional to 171,822.75 and 262,171.50

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Solution

The third proportional to 171,822.75 and 262,171.50 is: 400,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,822.75 : 262,171.50 = 262,171.50 : x
  2. Step 2: Convert to fraction form
    171,822.75/262,171.50 = 262,171.50/x
  3. Step 3: Cross multiply
    171,822.75x = 262,171.50 × 262,171.50
  4. Step 4: Simplify right side
    171,822.75x = 68,733,895,412.25
  5. Step 5: Solve for x
    x = 68,733,895,412.25/171,822.75
  6. Step 6: Final answer
    x = 400,027.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.