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Finding the Third Proportional to 198,087 and 426,975

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Solution

The third proportional to 198,087 and 426,975 is: 920,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,087 : 426,975 = 426,975 : x
  2. Step 2: Convert to fraction form
    198,087/426,975 = 426,975/x
  3. Step 3: Cross multiply
    198,087x = 426,975 × 426,975
  4. Step 4: Simplify right side
    198,087x = 182,307,650,625
  5. Step 5: Solve for x
    x = 182,307,650,625/198,087
  6. Step 6: Final answer
    x = 920,341.32

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