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Finding the Third Proportional to 75,198 and 163,356

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Solution

The third proportional to 75,198 and 163,356 is: 354,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,198 : 163,356 = 163,356 : x
  2. Step 2: Convert to fraction form
    75,198/163,356 = 163,356/x
  3. Step 3: Cross multiply
    75,198x = 163,356 × 163,356
  4. Step 4: Simplify right side
    75,198x = 26,685,182,736
  5. Step 5: Solve for x
    x = 26,685,182,736/75,198
  6. Step 6: Final answer
    x = 354,865.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.