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Finding the Third Proportional to 112,224 and 241,940

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Solution

The third proportional to 112,224 and 241,940 is: 521,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,224 : 241,940 = 241,940 : x
  2. Step 2: Convert to fraction form
    112,224/241,940 = 241,940/x
  3. Step 3: Cross multiply
    112,224x = 241,940 × 241,940
  4. Step 4: Simplify right side
    112,224x = 58,534,963,600
  5. Step 5: Solve for x
    x = 58,534,963,600/112,224
  6. Step 6: Final answer
    x = 521,590.42

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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.