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Finding the Third Proportional to 112,168 and 234,720

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Solution

The third proportional to 112,168 and 234,720 is: 491,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,168 : 234,720 = 234,720 : x
  2. Step 2: Convert to fraction form
    112,168/234,720 = 234,720/x
  3. Step 3: Cross multiply
    112,168x = 234,720 × 234,720
  4. Step 4: Simplify right side
    112,168x = 55,093,478,400
  5. Step 5: Solve for x
    x = 55,093,478,400/112,168
  6. Step 6: Final answer
    x = 491,169.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.