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Finding the Third Proportional to 150,903.50 and 226,373.75

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Solution

The third proportional to 150,903.50 and 226,373.75 is: 339,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,903.50 : 226,373.75 = 226,373.75 : x
  2. Step 2: Convert to fraction form
    150,903.50/226,373.75 = 226,373.75/x
  3. Step 3: Cross multiply
    150,903.50x = 226,373.75 × 226,373.75
  4. Step 4: Simplify right side
    150,903.50x = 51,245,074,689.06
  5. Step 5: Solve for x
    x = 51,245,074,689.06/150,903.50
  6. Step 6: Final answer
    x = 339,588.38

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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.