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Finding the Third Proportional to 90,004 and 208,366

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Solution

The third proportional to 90,004 and 208,366 is: 482,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,004 : 208,366 = 208,366 : x
  2. Step 2: Convert to fraction form
    90,004/208,366 = 208,366/x
  3. Step 3: Cross multiply
    90,004x = 208,366 × 208,366
  4. Step 4: Simplify right side
    90,004x = 43,416,389,956
  5. Step 5: Solve for x
    x = 43,416,389,956/90,004
  6. Step 6: Final answer
    x = 482,382.89

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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.