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Finding the Third Proportional to 150,784 and 226,194

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Solution

The third proportional to 150,784 and 226,194 is: 339,318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,784 : 226,194 = 226,194 : x
  2. Step 2: Convert to fraction form
    150,784/226,194 = 226,194/x
  3. Step 3: Cross multiply
    150,784x = 226,194 × 226,194
  4. Step 4: Simplify right side
    150,784x = 51,163,725,636
  5. Step 5: Solve for x
    x = 51,163,725,636/150,784
  6. Step 6: Final answer
    x = 339,318.00

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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.