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Finding the Third Proportional to 133,858 and 207,268

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Solution

The third proportional to 133,858 and 207,268 is: 320,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,858 : 207,268 = 207,268 : x
  2. Step 2: Convert to fraction form
    133,858/207,268 = 207,268/x
  3. Step 3: Cross multiply
    133,858x = 207,268 × 207,268
  4. Step 4: Simplify right side
    133,858x = 42,960,023,824
  5. Step 5: Solve for x
    x = 42,960,023,824/133,858
  6. Step 6: Final answer
    x = 320,937.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.