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Finding the Third Proportional to 208,016 and 313,496

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Solution

The third proportional to 208,016 and 313,496 is: 472,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,016 : 313,496 = 313,496 : x
  2. Step 2: Convert to fraction form
    208,016/313,496 = 313,496/x
  3. Step 3: Cross multiply
    208,016x = 313,496 × 313,496
  4. Step 4: Simplify right side
    208,016x = 98,279,742,016
  5. Step 5: Solve for x
    x = 98,279,742,016/208,016
  6. Step 6: Final answer
    x = 472,462.42

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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.