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Finding the Third Proportional to 226,617 and 333,661

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Solution

The third proportional to 226,617 and 333,661 is: 491,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,617 : 333,661 = 333,661 : x
  2. Step 2: Convert to fraction form
    226,617/333,661 = 333,661/x
  3. Step 3: Cross multiply
    226,617x = 333,661 × 333,661
  4. Step 4: Simplify right side
    226,617x = 111,329,662,921
  5. Step 5: Solve for x
    x = 111,329,662,921/226,617
  6. Step 6: Final answer
    x = 491,267.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.