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Finding the Third Proportional to 226,321.88 and 341,789.06

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Solution

The third proportional to 226,321.88 and 341,789.06 is: 516,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,321.88 : 341,789.06 = 341,789.06 : x
  2. Step 2: Convert to fraction form
    226,321.88/341,789.06 = 341,789.06/x
  3. Step 3: Cross multiply
    226,321.88x = 341,789.06 × 341,789.06
  4. Step 4: Simplify right side
    226,321.88x = 116,819,763,244.63
  5. Step 5: Solve for x
    x = 116,819,763,244.63/226,321.88
  6. Step 6: Final answer
    x = 516,166.47

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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.