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Finding the Third Proportional to 90,006 and 208,371

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Solution

The third proportional to 90,006 and 208,371 is: 482,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,006 : 208,371 = 208,371 : x
  2. Step 2: Convert to fraction form
    90,006/208,371 = 208,371/x
  3. Step 3: Cross multiply
    90,006x = 208,371 × 208,371
  4. Step 4: Simplify right side
    90,006x = 43,418,473,641
  5. Step 5: Solve for x
    x = 43,418,473,641/90,006
  6. Step 6: Final answer
    x = 482,395.33

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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.