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Finding the Third Proportional to 150,049.13 and 354,205.13

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Solution

The third proportional to 150,049.13 and 354,205.13 is: 836,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,049.13 : 354,205.13 = 354,205.13 : x
  2. Step 2: Convert to fraction form
    150,049.13/354,205.13 = 354,205.13/x
  3. Step 3: Cross multiply
    150,049.13x = 354,205.13 × 354,205.13
  4. Step 4: Simplify right side
    150,049.13x = 125,461,270,576.27
  5. Step 5: Solve for x
    x = 125,461,270,576.27/150,049.13
  6. Step 6: Final answer
    x = 836,134.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.