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Finding the Third Proportional to 199,747.50 and 427,926

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Solution

The third proportional to 199,747.50 and 427,926 is: 916,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,747.50 : 427,926 = 427,926 : x
  2. Step 2: Convert to fraction form
    199,747.50/427,926 = 427,926/x
  3. Step 3: Cross multiply
    199,747.50x = 427,926 × 427,926
  4. Step 4: Simplify right side
    199,747.50x = 183,120,661,476
  5. Step 5: Solve for x
    x = 183,120,661,476/199,747.50
  6. Step 6: Final answer
    x = 916,760.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.