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Finding the Third Proportional to 112,224.50 and 241,941

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Solution

The third proportional to 112,224.50 and 241,941 is: 521,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,224.50 : 241,941 = 241,941 : x
  2. Step 2: Convert to fraction form
    112,224.50/241,941 = 241,941/x
  3. Step 3: Cross multiply
    112,224.50x = 241,941 × 241,941
  4. Step 4: Simplify right side
    112,224.50x = 58,535,447,481
  5. Step 5: Solve for x
    x = 58,535,447,481/112,224.50
  6. Step 6: Final answer
    x = 521,592.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.