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Finding the Third Proportional to 244,914 and 369,171

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Solution

The third proportional to 244,914 and 369,171 is: 556,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,914 : 369,171 = 369,171 : x
  2. Step 2: Convert to fraction form
    244,914/369,171 = 369,171/x
  3. Step 3: Cross multiply
    244,914x = 369,171 × 369,171
  4. Step 4: Simplify right side
    244,914x = 136,287,227,241
  5. Step 5: Solve for x
    x = 136,287,227,241/244,914
  6. Step 6: Final answer
    x = 556,469.73

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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.