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Finding the Third Proportional to 198,024.12 and 427,617.35

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Solution

The third proportional to 198,024.12 and 427,617.35 is: 923,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,024.12 : 427,617.35 = 427,617.35 : x
  2. Step 2: Convert to fraction form
    198,024.12/427,617.35 = 427,617.35/x
  3. Step 3: Cross multiply
    198,024.12x = 427,617.35 × 427,617.35
  4. Step 4: Simplify right side
    198,024.12x = 182,856,599,357.33
  5. Step 5: Solve for x
    x = 182,856,599,357.33/198,024.12
  6. Step 6: Final answer
    x = 923,405.70

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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.