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Finding the Third Proportional to 198,538 and 428,178

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Solution

The third proportional to 198,538 and 428,178 is: 923,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,538 : 428,178 = 428,178 : x
  2. Step 2: Convert to fraction form
    198,538/428,178 = 428,178/x
  3. Step 3: Cross multiply
    198,538x = 428,178 × 428,178
  4. Step 4: Simplify right side
    198,538x = 183,336,399,684
  5. Step 5: Solve for x
    x = 183,336,399,684/198,538
  6. Step 6: Final answer
    x = 923,432.29

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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.