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Finding the Third Proportional to 226,662 and 340,101

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Solution

The third proportional to 226,662 and 340,101 is: 510,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,662 : 340,101 = 340,101 : x
  2. Step 2: Convert to fraction form
    226,662/340,101 = 340,101/x
  3. Step 3: Cross multiply
    226,662x = 340,101 × 340,101
  4. Step 4: Simplify right side
    226,662x = 115,668,690,201
  5. Step 5: Solve for x
    x = 115,668,690,201/226,662
  6. Step 6: Final answer
    x = 510,313.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.