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Finding the Third Proportional to 226,320.75 and 341,787.38

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Solution

The third proportional to 226,320.75 and 341,787.38 is: 516,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,320.75 : 341,787.38 = 341,787.38 : x
  2. Step 2: Convert to fraction form
    226,320.75/341,787.38 = 341,787.38/x
  3. Step 3: Cross multiply
    226,320.75x = 341,787.38 × 341,787.38
  4. Step 4: Simplify right side
    226,320.75x = 116,818,609,709.39
  5. Step 5: Solve for x
    x = 116,818,609,709.39/226,320.75
  6. Step 6: Final answer
    x = 516,163.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.