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Finding the Third Proportional to 150,069 and 354,243.75

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Solution

The third proportional to 150,069 and 354,243.75 is: 836,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,069 : 354,243.75 = 354,243.75 : x
  2. Step 2: Convert to fraction form
    150,069/354,243.75 = 354,243.75/x
  3. Step 3: Cross multiply
    150,069x = 354,243.75 × 354,243.75
  4. Step 4: Simplify right side
    150,069x = 125,488,634,414.06
  5. Step 5: Solve for x
    x = 125,488,634,414.06/150,069
  6. Step 6: Final answer
    x = 836,206.24

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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.