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Finding the Third Proportional to 208,048 and 313,544

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Solution

The third proportional to 208,048 and 313,544 is: 472,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048 : 313,544 = 313,544 : x
  2. Step 2: Convert to fraction form
    208,048/313,544 = 313,544/x
  3. Step 3: Cross multiply
    208,048x = 313,544 × 313,544
  4. Step 4: Simplify right side
    208,048x = 98,309,839,936
  5. Step 5: Solve for x
    x = 98,309,839,936/208,048
  6. Step 6: Final answer
    x = 472,534.41

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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.