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Finding the Third Proportional to 122,374 and 188,233

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Solution

The third proportional to 122,374 and 188,233 is: 289,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,374 : 188,233 = 188,233 : x
  2. Step 2: Convert to fraction form
    122,374/188,233 = 188,233/x
  3. Step 3: Cross multiply
    122,374x = 188,233 × 188,233
  4. Step 4: Simplify right side
    122,374x = 35,431,662,289
  5. Step 5: Solve for x
    x = 35,431,662,289/122,374
  6. Step 6: Final answer
    x = 289,535.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.