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Finding the Third Proportional to 151,162 and 225,952

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Solution

The third proportional to 151,162 and 225,952 is: 337,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,162 : 225,952 = 225,952 : x
  2. Step 2: Convert to fraction form
    151,162/225,952 = 225,952/x
  3. Step 3: Cross multiply
    151,162x = 225,952 × 225,952
  4. Step 4: Simplify right side
    151,162x = 51,054,306,304
  5. Step 5: Solve for x
    x = 51,054,306,304/151,162
  6. Step 6: Final answer
    x = 337,745.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.