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Finding the Third Proportional to 150,912.75 and 204,225.13

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Solution

The third proportional to 150,912.75 and 204,225.13 is: 276,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,912.75 : 204,225.13 = 204,225.13 : x
  2. Step 2: Convert to fraction form
    150,912.75/204,225.13 = 204,225.13/x
  3. Step 3: Cross multiply
    150,912.75x = 204,225.13 × 204,225.13
  4. Step 4: Simplify right side
    150,912.75x = 41,707,901,681.27
  5. Step 5: Solve for x
    x = 41,707,901,681.27/150,912.75
  6. Step 6: Final answer
    x = 276,370.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.