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Finding the Third Proportional to 134,268 and 188,217

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Solution

The third proportional to 134,268 and 188,217 is: 263,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,268 : 188,217 = 188,217 : x
  2. Step 2: Convert to fraction form
    134,268/188,217 = 188,217/x
  3. Step 3: Cross multiply
    134,268x = 188,217 × 188,217
  4. Step 4: Simplify right side
    134,268x = 35,425,639,089
  5. Step 5: Solve for x
    x = 35,425,639,089/134,268
  6. Step 6: Final answer
    x = 263,842.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.