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Finding the Third Proportional to 198,422 and 468,304

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Solution

The third proportional to 198,422 and 468,304 is: 1,105,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,422 : 468,304 = 468,304 : x
  2. Step 2: Convert to fraction form
    198,422/468,304 = 468,304/x
  3. Step 3: Cross multiply
    198,422x = 468,304 × 468,304
  4. Step 4: Simplify right side
    198,422x = 219,308,636,416
  5. Step 5: Solve for x
    x = 219,308,636,416/198,422
  6. Step 6: Final answer
    x = 1,105,263.71

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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.