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Finding the Third Proportional to 226,324.13 and 341,793

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Solution

The third proportional to 226,324.13 and 341,793 is: 516,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,324.13 : 341,793 = 341,793 : x
  2. Step 2: Convert to fraction form
    226,324.13/341,793 = 341,793/x
  3. Step 3: Cross multiply
    226,324.13x = 341,793 × 341,793
  4. Step 4: Simplify right side
    226,324.13x = 116,822,454,849
  5. Step 5: Solve for x
    x = 116,822,454,849/226,324.13
  6. Step 6: Final answer
    x = 516,173.23

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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.