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Finding the Third Proportional to 171,027 and 263,101.50

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Solution

The third proportional to 171,027 and 263,101.50 is: 404,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,027 : 263,101.50 = 263,101.50 : x
  2. Step 2: Convert to fraction form
    171,027/263,101.50 = 263,101.50/x
  3. Step 3: Cross multiply
    171,027x = 263,101.50 × 263,101.50
  4. Step 4: Simplify right side
    171,027x = 69,222,399,302.25
  5. Step 5: Solve for x
    x = 69,222,399,302.25/171,027
  6. Step 6: Final answer
    x = 404,745.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.