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Finding the Third Proportional to 199,438.88 and 299,305.13

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Solution

The third proportional to 199,438.88 and 299,305.13 is: 449,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,438.88 : 299,305.13 = 299,305.13 : x
  2. Step 2: Convert to fraction form
    199,438.88/299,305.13 = 299,305.13/x
  3. Step 3: Cross multiply
    199,438.88x = 299,305.13 × 299,305.13
  4. Step 4: Simplify right side
    199,438.88x = 89,583,557,851.27
  5. Step 5: Solve for x
    x = 89,583,557,851.27/199,438.88
  6. Step 6: Final answer
    x = 449,178.01

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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.