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Finding the Third Proportional to 208,092 and 313,976

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Solution

The third proportional to 208,092 and 313,976 is: 473,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,092 : 313,976 = 313,976 : x
  2. Step 2: Convert to fraction form
    208,092/313,976 = 313,976/x
  3. Step 3: Cross multiply
    208,092x = 313,976 × 313,976
  4. Step 4: Simplify right side
    208,092x = 98,580,928,576
  5. Step 5: Solve for x
    x = 98,580,928,576/208,092
  6. Step 6: Final answer
    x = 473,737.23

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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.