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Finding the Third Proportional to 90,128 and 208,640

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Solution

The third proportional to 90,128 and 208,640 is: 482,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,128 : 208,640 = 208,640 : x
  2. Step 2: Convert to fraction form
    90,128/208,640 = 208,640/x
  3. Step 3: Cross multiply
    90,128x = 208,640 × 208,640
  4. Step 4: Simplify right side
    90,128x = 43,530,649,600
  5. Step 5: Solve for x
    x = 43,530,649,600/90,128
  6. Step 6: Final answer
    x = 482,986.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.