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Finding the Third Proportional to 217,158 and 313,277

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Solution

The third proportional to 217,158 and 313,277 is: 451,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,158 : 313,277 = 313,277 : x
  2. Step 2: Convert to fraction form
    217,158/313,277 = 313,277/x
  3. Step 3: Cross multiply
    217,158x = 313,277 × 313,277
  4. Step 4: Simplify right side
    217,158x = 98,142,478,729
  5. Step 5: Solve for x
    x = 98,142,478,729/217,158
  6. Step 6: Final answer
    x = 451,940.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.