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Finding the Third Proportional to 132,884 and 194,210

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Solution

The third proportional to 132,884 and 194,210 is: 283,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,884 : 194,210 = 194,210 : x
  2. Step 2: Convert to fraction form
    132,884/194,210 = 194,210/x
  3. Step 3: Cross multiply
    132,884x = 194,210 × 194,210
  4. Step 4: Simplify right side
    132,884x = 37,717,524,100
  5. Step 5: Solve for x
    x = 37,717,524,100/132,884
  6. Step 6: Final answer
    x = 283,837.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.