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Finding the Third Proportional to 199,415.67 and 299,268.42

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Solution

The third proportional to 199,415.67 and 299,268.42 is: 449,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,415.67 : 299,268.42 = 299,268.42 : x
  2. Step 2: Convert to fraction form
    199,415.67/299,268.42 = 299,268.42/x
  3. Step 3: Cross multiply
    199,415.67x = 299,268.42 × 299,268.42
  4. Step 4: Simplify right side
    199,415.67x = 89,561,588,331.55
  5. Step 5: Solve for x
    x = 89,561,588,331.55/199,415.67
  6. Step 6: Final answer
    x = 449,120.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.