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Finding the Third Proportional to 90,000 and 208,356

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Solution

The third proportional to 90,000 and 208,356 is: 482,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,000 : 208,356 = 208,356 : x
  2. Step 2: Convert to fraction form
    90,000/208,356 = 208,356/x
  3. Step 3: Cross multiply
    90,000x = 208,356 × 208,356
  4. Step 4: Simplify right side
    90,000x = 43,412,222,736
  5. Step 5: Solve for x
    x = 43,412,222,736/90,000
  6. Step 6: Final answer
    x = 482,358.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.