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Finding the Third Proportional to 96,238 and 214,348

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Solution

The third proportional to 96,238 and 214,348 is: 477,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,238 : 214,348 = 214,348 : x
  2. Step 2: Convert to fraction form
    96,238/214,348 = 214,348/x
  3. Step 3: Cross multiply
    96,238x = 214,348 × 214,348
  4. Step 4: Simplify right side
    96,238x = 45,945,065,104
  5. Step 5: Solve for x
    x = 45,945,065,104/96,238
  6. Step 6: Final answer
    x = 477,410.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.