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Finding the Third Proportional to 84,268 and 185,483

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Solution

The third proportional to 84,268 and 185,483 is: 408,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,268 : 185,483 = 185,483 : x
  2. Step 2: Convert to fraction form
    84,268/185,483 = 185,483/x
  3. Step 3: Cross multiply
    84,268x = 185,483 × 185,483
  4. Step 4: Simplify right side
    84,268x = 34,403,943,289
  5. Step 5: Solve for x
    x = 34,403,943,289/84,268
  6. Step 6: Final answer
    x = 408,268.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.