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Finding the Third Proportional to 241,922 and 376,131

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Solution

The third proportional to 241,922 and 376,131 is: 584,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,922 : 376,131 = 376,131 : x
  2. Step 2: Convert to fraction form
    241,922/376,131 = 376,131/x
  3. Step 3: Cross multiply
    241,922x = 376,131 × 376,131
  4. Step 4: Simplify right side
    241,922x = 141,474,529,161
  5. Step 5: Solve for x
    x = 141,474,529,161/241,922
  6. Step 6: Final answer
    x = 584,793.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.