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Finding the Third Proportional to 154,799 and 340,042

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Solution

The third proportional to 154,799 and 340,042 is: 746,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,799 : 340,042 = 340,042 : x
  2. Step 2: Convert to fraction form
    154,799/340,042 = 340,042/x
  3. Step 3: Cross multiply
    154,799x = 340,042 × 340,042
  4. Step 4: Simplify right side
    154,799x = 115,628,561,764
  5. Step 5: Solve for x
    x = 115,628,561,764/154,799
  6. Step 6: Final answer
    x = 746,959.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.