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Finding the Third Proportional to 169,032 and 263,238

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Solution

The third proportional to 169,032 and 263,238 is: 409,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,032 : 263,238 = 263,238 : x
  2. Step 2: Convert to fraction form
    169,032/263,238 = 263,238/x
  3. Step 3: Cross multiply
    169,032x = 263,238 × 263,238
  4. Step 4: Simplify right side
    169,032x = 69,294,244,644
  5. Step 5: Solve for x
    x = 69,294,244,644/169,032
  6. Step 6: Final answer
    x = 409,947.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.