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Finding the Third Proportional to 198,533 and 428,170

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Solution

The third proportional to 198,533 and 428,170 is: 923,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,533 : 428,170 = 428,170 : x
  2. Step 2: Convert to fraction form
    198,533/428,170 = 428,170/x
  3. Step 3: Cross multiply
    198,533x = 428,170 × 428,170
  4. Step 4: Simplify right side
    198,533x = 183,329,548,900
  5. Step 5: Solve for x
    x = 183,329,548,900/198,533
  6. Step 6: Final answer
    x = 923,421.04

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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.