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Finding the Third Proportional to 150,196.50 and 225,324.75

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Solution

The third proportional to 150,196.50 and 225,324.75 is: 338,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,196.50 : 225,324.75 = 225,324.75 : x
  2. Step 2: Convert to fraction form
    150,196.50/225,324.75 = 225,324.75/x
  3. Step 3: Cross multiply
    150,196.50x = 225,324.75 × 225,324.75
  4. Step 4: Simplify right side
    150,196.50x = 50,771,242,962.56
  5. Step 5: Solve for x
    x = 50,771,242,962.56/150,196.50
  6. Step 6: Final answer
    x = 338,032.13

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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.