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Finding the Third Proportional to 180,622 and 286,241

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Solution

The third proportional to 180,622 and 286,241 is: 453,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,622 : 286,241 = 286,241 : x
  2. Step 2: Convert to fraction form
    180,622/286,241 = 286,241/x
  3. Step 3: Cross multiply
    180,622x = 286,241 × 286,241
  4. Step 4: Simplify right side
    180,622x = 81,933,910,081
  5. Step 5: Solve for x
    x = 81,933,910,081/180,622
  6. Step 6: Final answer
    x = 453,620.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.