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Finding the Third Proportional to 112,224 and 246,588

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Solution

The third proportional to 112,224 and 246,588 is: 541,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,224 : 246,588 = 246,588 : x
  2. Step 2: Convert to fraction form
    112,224/246,588 = 246,588/x
  3. Step 3: Cross multiply
    112,224x = 246,588 × 246,588
  4. Step 4: Simplify right side
    112,224x = 60,805,641,744
  5. Step 5: Solve for x
    x = 60,805,641,744/112,224
  6. Step 6: Final answer
    x = 541,823.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.