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Finding the Third Proportional to 154,849 and 335,042

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Solution

The third proportional to 154,849 and 335,042 is: 724,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,849 : 335,042 = 335,042 : x
  2. Step 2: Convert to fraction form
    154,849/335,042 = 335,042/x
  3. Step 3: Cross multiply
    154,849x = 335,042 × 335,042
  4. Step 4: Simplify right side
    154,849x = 112,253,141,764
  5. Step 5: Solve for x
    x = 112,253,141,764/154,849
  6. Step 6: Final answer
    x = 724,920.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.