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Finding the Third Proportional to 198,222 and 427,548

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Solution

The third proportional to 198,222 and 427,548 is: 922,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,222 : 427,548 = 427,548 : x
  2. Step 2: Convert to fraction form
    198,222/427,548 = 427,548/x
  3. Step 3: Cross multiply
    198,222x = 427,548 × 427,548
  4. Step 4: Simplify right side
    198,222x = 182,797,292,304
  5. Step 5: Solve for x
    x = 182,797,292,304/198,222
  6. Step 6: Final answer
    x = 922,184.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.