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Finding the Third Proportional to 198,377 and 468,212

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Solution

The third proportional to 198,377 and 468,212 is: 1,105,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,377 : 468,212 = 468,212 : x
  2. Step 2: Convert to fraction form
    198,377/468,212 = 468,212/x
  3. Step 3: Cross multiply
    198,377x = 468,212 × 468,212
  4. Step 4: Simplify right side
    198,377x = 219,222,476,944
  5. Step 5: Solve for x
    x = 219,222,476,944/198,377
  6. Step 6: Final answer
    x = 1,105,080.11

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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.