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Finding the Third Proportional to 95,292 and 208,356

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Solution

The third proportional to 95,292 and 208,356 is: 455,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,292 : 208,356 = 208,356 : x
  2. Step 2: Convert to fraction form
    95,292/208,356 = 208,356/x
  3. Step 3: Cross multiply
    95,292x = 208,356 × 208,356
  4. Step 4: Simplify right side
    95,292x = 43,412,222,736
  5. Step 5: Solve for x
    x = 43,412,222,736/95,292
  6. Step 6: Final answer
    x = 455,570.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.