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Finding the Third Proportional to 95,288 and 214,856

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Solution

The third proportional to 95,288 and 214,856 is: 484,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,288 : 214,856 = 214,856 : x
  2. Step 2: Convert to fraction form
    95,288/214,856 = 214,856/x
  3. Step 3: Cross multiply
    95,288x = 214,856 × 214,856
  4. Step 4: Simplify right side
    95,288x = 46,163,100,736
  5. Step 5: Solve for x
    x = 46,163,100,736/95,288
  6. Step 6: Final answer
    x = 484,458.70

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.