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Finding the Third Proportional to 182,268 and 242,622

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Solution

The third proportional to 182,268 and 242,622 is: 322,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,268 : 242,622 = 242,622 : x
  2. Step 2: Convert to fraction form
    182,268/242,622 = 242,622/x
  3. Step 3: Cross multiply
    182,268x = 242,622 × 242,622
  4. Step 4: Simplify right side
    182,268x = 58,865,434,884
  5. Step 5: Solve for x
    x = 58,865,434,884/182,268
  6. Step 6: Final answer
    x = 322,960.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.