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Finding the Third Proportional to 199,528.50 and 269,200.50

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Solution

The third proportional to 199,528.50 and 269,200.50 is: 363,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,528.50 : 269,200.50 = 269,200.50 : x
  2. Step 2: Convert to fraction form
    199,528.50/269,200.50 = 269,200.50/x
  3. Step 3: Cross multiply
    199,528.50x = 269,200.50 × 269,200.50
  4. Step 4: Simplify right side
    199,528.50x = 72,468,909,200.25
  5. Step 5: Solve for x
    x = 72,468,909,200.25/199,528.50
  6. Step 6: Final answer
    x = 363,200.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.