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Finding the Third Proportional to 150,892.50 and 226,357.13

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Solution

The third proportional to 150,892.50 and 226,357.13 is: 339,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,892.50 : 226,357.13 = 226,357.13 : x
  2. Step 2: Convert to fraction form
    150,892.50/226,357.13 = 226,357.13/x
  3. Step 3: Cross multiply
    150,892.50x = 226,357.13 × 226,357.13
  4. Step 4: Simplify right side
    150,892.50x = 51,237,548,038.27
  5. Step 5: Solve for x
    x = 51,237,548,038.27/150,892.50
  6. Step 6: Final answer
    x = 339,563.25

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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.