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Finding the Third Proportional to 207,544 and 313,223

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Solution

The third proportional to 207,544 and 313,223 is: 472,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,544 : 313,223 = 313,223 : x
  2. Step 2: Convert to fraction form
    207,544/313,223 = 313,223/x
  3. Step 3: Cross multiply
    207,544x = 313,223 × 313,223
  4. Step 4: Simplify right side
    207,544x = 98,108,647,729
  5. Step 5: Solve for x
    x = 98,108,647,729/207,544
  6. Step 6: Final answer
    x = 472,712.52

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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.