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Finding the Third Proportional to 226,530 and 359,886

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Solution

The third proportional to 226,530 and 359,886 is: 571,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,530 : 359,886 = 359,886 : x
  2. Step 2: Convert to fraction form
    226,530/359,886 = 359,886/x
  3. Step 3: Cross multiply
    226,530x = 359,886 × 359,886
  4. Step 4: Simplify right side
    226,530x = 129,517,932,996
  5. Step 5: Solve for x
    x = 129,517,932,996/226,530
  6. Step 6: Final answer
    x = 571,747.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.