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Finding the Third Proportional to 149,914 and 227,942

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Solution

The third proportional to 149,914 and 227,942 is: 346,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,914 : 227,942 = 227,942 : x
  2. Step 2: Convert to fraction form
    149,914/227,942 = 227,942/x
  3. Step 3: Cross multiply
    149,914x = 227,942 × 227,942
  4. Step 4: Simplify right side
    149,914x = 51,957,555,364
  5. Step 5: Solve for x
    x = 51,957,555,364/149,914
  6. Step 6: Final answer
    x = 346,582.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.