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Finding the Third Proportional to 198,089.25 and 427,138.50

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Solution

The third proportional to 198,089.25 and 427,138.50 is: 921,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,089.25 : 427,138.50 = 427,138.50 : x
  2. Step 2: Convert to fraction form
    198,089.25/427,138.50 = 427,138.50/x
  3. Step 3: Cross multiply
    198,089.25x = 427,138.50 × 427,138.50
  4. Step 4: Simplify right side
    198,089.25x = 182,447,298,182.25
  5. Step 5: Solve for x
    x = 182,447,298,182.25/198,089.25
  6. Step 6: Final answer
    x = 921,035.84

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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.