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Finding the Third Proportional to 226,035 and 341,979.75

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Solution

The third proportional to 226,035 and 341,979.75 is: 517,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,035 : 341,979.75 = 341,979.75 : x
  2. Step 2: Convert to fraction form
    226,035/341,979.75 = 341,979.75/x
  3. Step 3: Cross multiply
    226,035x = 341,979.75 × 341,979.75
  4. Step 4: Simplify right side
    226,035x = 116,950,149,410.06
  5. Step 5: Solve for x
    x = 116,950,149,410.06/226,035
  6. Step 6: Final answer
    x = 517,398.41

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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.