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Finding the Third Proportional to 226,048 and 341,982

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Solution

The third proportional to 226,048 and 341,982 is: 517,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,048 : 341,982 = 341,982 : x
  2. Step 2: Convert to fraction form
    226,048/341,982 = 341,982/x
  3. Step 3: Cross multiply
    226,048x = 341,982 × 341,982
  4. Step 4: Simplify right side
    226,048x = 116,951,688,324
  5. Step 5: Solve for x
    x = 116,951,688,324/226,048
  6. Step 6: Final answer
    x = 517,375.46

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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.