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Finding the Third Proportional to 149,914 and 227,940

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Solution

The third proportional to 149,914 and 227,940 is: 346,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,914 : 227,940 = 227,940 : x
  2. Step 2: Convert to fraction form
    149,914/227,940 = 227,940/x
  3. Step 3: Cross multiply
    149,914x = 227,940 × 227,940
  4. Step 4: Simplify right side
    149,914x = 51,956,643,600
  5. Step 5: Solve for x
    x = 51,956,643,600/149,914
  6. Step 6: Final answer
    x = 346,576.33

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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.