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Finding the Third Proportional to 226,035 and 341,965.13

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Solution

The third proportional to 226,035 and 341,965.13 is: 517,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,035 : 341,965.13 = 341,965.13 : x
  2. Step 2: Convert to fraction form
    226,035/341,965.13 = 341,965.13/x
  3. Step 3: Cross multiply
    226,035x = 341,965.13 × 341,965.13
  4. Step 4: Simplify right side
    226,035x = 116,940,146,716.27
  5. Step 5: Solve for x
    x = 116,940,146,716.27/226,035
  6. Step 6: Final answer
    x = 517,354.16

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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.