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Finding the Third Proportional to 90,755 and 208,308

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Solution

The third proportional to 90,755 and 208,308 is: 478,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,755 : 208,308 = 208,308 : x
  2. Step 2: Convert to fraction form
    90,755/208,308 = 208,308/x
  3. Step 3: Cross multiply
    90,755x = 208,308 × 208,308
  4. Step 4: Simplify right side
    90,755x = 43,392,222,864
  5. Step 5: Solve for x
    x = 43,392,222,864/90,755
  6. Step 6: Final answer
    x = 478,124.87

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.