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Finding the Third Proportional to 97,227 and 208,278

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Solution

The third proportional to 97,227 and 208,278 is: 446,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,227 : 208,278 = 208,278 : x
  2. Step 2: Convert to fraction form
    97,227/208,278 = 208,278/x
  3. Step 3: Cross multiply
    97,227x = 208,278 × 208,278
  4. Step 4: Simplify right side
    97,227x = 43,379,725,284
  5. Step 5: Solve for x
    x = 43,379,725,284/97,227
  6. Step 6: Final answer
    x = 446,169.53

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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.