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Finding the Third Proportional to 151,424.25 and 227,500.50

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Solution

The third proportional to 151,424.25 and 227,500.50 is: 341,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,424.25 : 227,500.50 = 227,500.50 : x
  2. Step 2: Convert to fraction form
    151,424.25/227,500.50 = 227,500.50/x
  3. Step 3: Cross multiply
    151,424.25x = 227,500.50 × 227,500.50
  4. Step 4: Simplify right side
    151,424.25x = 51,756,477,500.25
  5. Step 5: Solve for x
    x = 51,756,477,500.25/151,424.25
  6. Step 6: Final answer
    x = 341,797.81

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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.