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Finding the Third Proportional to 168,068.25 and 231,120

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Solution

The third proportional to 168,068.25 and 231,120 is: 317,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,068.25 : 231,120 = 231,120 : x
  2. Step 2: Convert to fraction form
    168,068.25/231,120 = 231,120/x
  3. Step 3: Cross multiply
    168,068.25x = 231,120 × 231,120
  4. Step 4: Simplify right side
    168,068.25x = 53,416,454,400
  5. Step 5: Solve for x
    x = 53,416,454,400/168,068.25
  6. Step 6: Final answer
    x = 317,825.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.