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Finding the Third Proportional to 154,843 and 218,050

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Solution

The third proportional to 154,843 and 218,050 is: 307,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,843 : 218,050 = 218,050 : x
  2. Step 2: Convert to fraction form
    154,843/218,050 = 218,050/x
  3. Step 3: Cross multiply
    154,843x = 218,050 × 218,050
  4. Step 4: Simplify right side
    154,843x = 47,545,802,500
  5. Step 5: Solve for x
    x = 47,545,802,500/154,843
  6. Step 6: Final answer
    x = 307,058.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.