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Finding the Third Proportional to 197,381 and 299,764

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Solution

The third proportional to 197,381 and 299,764 is: 455,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,381 : 299,764 = 299,764 : x
  2. Step 2: Convert to fraction form
    197,381/299,764 = 299,764/x
  3. Step 3: Cross multiply
    197,381x = 299,764 × 299,764
  4. Step 4: Simplify right side
    197,381x = 89,858,455,696
  5. Step 5: Solve for x
    x = 89,858,455,696/197,381
  6. Step 6: Final answer
    x = 455,253.83

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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.