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Finding the Third Proportional to 90,058 and 208,486

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Solution

The third proportional to 90,058 and 208,486 is: 482,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,058 : 208,486 = 208,486 : x
  2. Step 2: Convert to fraction form
    90,058/208,486 = 208,486/x
  3. Step 3: Cross multiply
    90,058x = 208,486 × 208,486
  4. Step 4: Simplify right side
    90,058x = 43,466,412,196
  5. Step 5: Solve for x
    x = 43,466,412,196/90,058
  6. Step 6: Final answer
    x = 482,649.09

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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.