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Finding the Third Proportional to 83,858 and 183,268

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Solution

The third proportional to 83,858 and 183,268 is: 400,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,858 : 183,268 = 183,268 : x
  2. Step 2: Convert to fraction form
    83,858/183,268 = 183,268/x
  3. Step 3: Cross multiply
    83,858x = 183,268 × 183,268
  4. Step 4: Simplify right side
    83,858x = 33,587,159,824
  5. Step 5: Solve for x
    x = 33,587,159,824/83,858
  6. Step 6: Final answer
    x = 400,524.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.