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Finding the Third Proportional to 231,093 and 348,279.75

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Solution

The third proportional to 231,093 and 348,279.75 is: 524,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,093 : 348,279.75 = 348,279.75 : x
  2. Step 2: Convert to fraction form
    231,093/348,279.75 = 348,279.75/x
  3. Step 3: Cross multiply
    231,093x = 348,279.75 × 348,279.75
  4. Step 4: Simplify right side
    231,093x = 121,298,784,260.06
  5. Step 5: Solve for x
    x = 121,298,784,260.06/231,093
  6. Step 6: Final answer
    x = 524,891.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.