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Finding the Third Proportional to 150,027.75 and 354,151.13

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Solution

The third proportional to 150,027.75 and 354,151.13 is: 835,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,027.75 : 354,151.13 = 354,151.13 : x
  2. Step 2: Convert to fraction form
    150,027.75/354,151.13 = 354,151.13/x
  3. Step 3: Cross multiply
    150,027.75x = 354,151.13 × 354,151.13
  4. Step 4: Simplify right side
    150,027.75x = 125,423,019,338.77
  5. Step 5: Solve for x
    x = 125,423,019,338.77/150,027.75
  6. Step 6: Final answer
    x = 835,998.80

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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.