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Finding the Third Proportional to 154,119 and 225,846

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Solution

The third proportional to 154,119 and 225,846 is: 330,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,119 : 225,846 = 225,846 : x
  2. Step 2: Convert to fraction form
    154,119/225,846 = 225,846/x
  3. Step 3: Cross multiply
    154,119x = 225,846 × 225,846
  4. Step 4: Simplify right side
    154,119x = 51,006,415,716
  5. Step 5: Solve for x
    x = 51,006,415,716/154,119
  6. Step 6: Final answer
    x = 330,954.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.