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Finding the Third Proportional to 88,256 and 208,169

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Solution

The third proportional to 88,256 and 208,169 is: 491,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,256 : 208,169 = 208,169 : x
  2. Step 2: Convert to fraction form
    88,256/208,169 = 208,169/x
  3. Step 3: Cross multiply
    88,256x = 208,169 × 208,169
  4. Step 4: Simplify right side
    88,256x = 43,334,332,561
  5. Step 5: Solve for x
    x = 43,334,332,561/88,256
  6. Step 6: Final answer
    x = 491,007.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.