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Finding the Third Proportional to 86,268 and 183,714

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Solution

The third proportional to 86,268 and 183,714 is: 391,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,268 : 183,714 = 183,714 : x
  2. Step 2: Convert to fraction form
    86,268/183,714 = 183,714/x
  3. Step 3: Cross multiply
    86,268x = 183,714 × 183,714
  4. Step 4: Simplify right side
    86,268x = 33,750,833,796
  5. Step 5: Solve for x
    x = 33,750,833,796/86,268
  6. Step 6: Final answer
    x = 391,232.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.