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Finding the Third Proportional to 159,286 and 240,972

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Solution

The third proportional to 159,286 and 240,972 is: 364,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,286 : 240,972 = 240,972 : x
  2. Step 2: Convert to fraction form
    159,286/240,972 = 240,972/x
  3. Step 3: Cross multiply
    159,286x = 240,972 × 240,972
  4. Step 4: Simplify right side
    159,286x = 58,067,504,784
  5. Step 5: Solve for x
    x = 58,067,504,784/159,286
  6. Step 6: Final answer
    x = 364,548.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.