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Finding the Third Proportional to 112,592 and 240,916

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Solution

The third proportional to 112,592 and 240,916 is: 515,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,592 : 240,916 = 240,916 : x
  2. Step 2: Convert to fraction form
    112,592/240,916 = 240,916/x
  3. Step 3: Cross multiply
    112,592x = 240,916 × 240,916
  4. Step 4: Simplify right side
    112,592x = 58,040,519,056
  5. Step 5: Solve for x
    x = 58,040,519,056/112,592
  6. Step 6: Final answer
    x = 515,494.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.