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Finding the Third Proportional to 200,761.50 and 430,722.75

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Solution

The third proportional to 200,761.50 and 430,722.75 is: 924,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,761.50 : 430,722.75 = 430,722.75 : x
  2. Step 2: Convert to fraction form
    200,761.50/430,722.75 = 430,722.75/x
  3. Step 3: Cross multiply
    200,761.50x = 430,722.75 × 430,722.75
  4. Step 4: Simplify right side
    200,761.50x = 185,522,087,367.56
  5. Step 5: Solve for x
    x = 185,522,087,367.56/200,761.50
  6. Step 6: Final answer
    x = 924,091.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.