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Finding the Third Proportional to 100,278 and 214,380

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Solution

The third proportional to 100,278 and 214,380 is: 458,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,278 : 214,380 = 214,380 : x
  2. Step 2: Convert to fraction form
    100,278/214,380 = 214,380/x
  3. Step 3: Cross multiply
    100,278x = 214,380 × 214,380
  4. Step 4: Simplify right side
    100,278x = 45,958,784,400
  5. Step 5: Solve for x
    x = 45,958,784,400/100,278
  6. Step 6: Final answer
    x = 458,313.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.