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Finding the Third Proportional to 154,443 and 338,410

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Solution

The third proportional to 154,443 and 338,410 is: 741,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,443 : 338,410 = 338,410 : x
  2. Step 2: Convert to fraction form
    154,443/338,410 = 338,410/x
  3. Step 3: Cross multiply
    154,443x = 338,410 × 338,410
  4. Step 4: Simplify right side
    154,443x = 114,521,328,100
  5. Step 5: Solve for x
    x = 114,521,328,100/154,443
  6. Step 6: Final answer
    x = 741,511.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.