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Finding the Third Proportional to 120,210 and 188,567

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Solution

The third proportional to 120,210 and 188,567 is: 295,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,210 : 188,567 = 188,567 : x
  2. Step 2: Convert to fraction form
    120,210/188,567 = 188,567/x
  3. Step 3: Cross multiply
    120,210x = 188,567 × 188,567
  4. Step 4: Simplify right side
    120,210x = 35,557,513,489
  5. Step 5: Solve for x
    x = 35,557,513,489/120,210
  6. Step 6: Final answer
    x = 295,794.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.