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Finding the Third Proportional to 154,418 and 335,404

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Solution

The third proportional to 154,418 and 335,404 is: 728,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,418 : 335,404 = 335,404 : x
  2. Step 2: Convert to fraction form
    154,418/335,404 = 335,404/x
  3. Step 3: Cross multiply
    154,418x = 335,404 × 335,404
  4. Step 4: Simplify right side
    154,418x = 112,495,843,216
  5. Step 5: Solve for x
    x = 112,495,843,216/154,418
  6. Step 6: Final answer
    x = 728,515.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.