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Finding the Third Proportional to 154,950 and 335,982

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Solution

The third proportional to 154,950 and 335,982 is: 728,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,950 : 335,982 = 335,982 : x
  2. Step 2: Convert to fraction form
    154,950/335,982 = 335,982/x
  3. Step 3: Cross multiply
    154,950x = 335,982 × 335,982
  4. Step 4: Simplify right side
    154,950x = 112,883,904,324
  5. Step 5: Solve for x
    x = 112,883,904,324/154,950
  6. Step 6: Final answer
    x = 728,518.26

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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.