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Finding the Third Proportional to 241,936 and 376,152

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Solution

The third proportional to 241,936 and 376,152 is: 584,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,936 : 376,152 = 376,152 : x
  2. Step 2: Convert to fraction form
    241,936/376,152 = 376,152/x
  3. Step 3: Cross multiply
    241,936x = 376,152 × 376,152
  4. Step 4: Simplify right side
    241,936x = 141,490,327,104
  5. Step 5: Solve for x
    x = 141,490,327,104/241,936
  6. Step 6: Final answer
    x = 584,825.44

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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.