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Finding the Third Proportional to 198,004 and 426,920

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Solution

The third proportional to 198,004 and 426,920 is: 920,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,004 : 426,920 = 426,920 : x
  2. Step 2: Convert to fraction form
    198,004/426,920 = 426,920/x
  3. Step 3: Cross multiply
    198,004x = 426,920 × 426,920
  4. Step 4: Simplify right side
    198,004x = 182,260,686,400
  5. Step 5: Solve for x
    x = 182,260,686,400/198,004
  6. Step 6: Final answer
    x = 920,489.92

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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.