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Finding the Third Proportional to 226,664 and 340,536

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Solution

The third proportional to 226,664 and 340,536 is: 511,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,664 : 340,536 = 340,536 : x
  2. Step 2: Convert to fraction form
    226,664/340,536 = 340,536/x
  3. Step 3: Cross multiply
    226,664x = 340,536 × 340,536
  4. Step 4: Simplify right side
    226,664x = 115,964,767,296
  5. Step 5: Solve for x
    x = 115,964,767,296/226,664
  6. Step 6: Final answer
    x = 511,615.29

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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.