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Finding the Third Proportional to 226,689 and 340,071

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Solution

The third proportional to 226,689 and 340,071 is: 510,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,689 : 340,071 = 340,071 : x
  2. Step 2: Convert to fraction form
    226,689/340,071 = 340,071/x
  3. Step 3: Cross multiply
    226,689x = 340,071 × 340,071
  4. Step 4: Simplify right side
    226,689x = 115,648,285,041
  5. Step 5: Solve for x
    x = 115,648,285,041/226,689
  6. Step 6: Final answer
    x = 510,162.76

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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.