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Finding the Third Proportional to 90,268 and 180,886

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Solution

The third proportional to 90,268 and 180,886 is: 362,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,268 : 180,886 = 180,886 : x
  2. Step 2: Convert to fraction form
    90,268/180,886 = 180,886/x
  3. Step 3: Cross multiply
    90,268x = 180,886 × 180,886
  4. Step 4: Simplify right side
    90,268x = 32,719,744,996
  5. Step 5: Solve for x
    x = 32,719,744,996/90,268
  6. Step 6: Final answer
    x = 362,473.36

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.