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Finding the Third Proportional to 95,284 and 214,846

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Solution

The third proportional to 95,284 and 214,846 is: 484,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,284 : 214,846 = 214,846 : x
  2. Step 2: Convert to fraction form
    95,284/214,846 = 214,846/x
  3. Step 3: Cross multiply
    95,284x = 214,846 × 214,846
  4. Step 4: Simplify right side
    95,284x = 46,158,803,716
  5. Step 5: Solve for x
    x = 46,158,803,716/95,284
  6. Step 6: Final answer
    x = 484,433.94

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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.