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Finding the Third Proportional to 208,053.75 and 313,277.25

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Solution

The third proportional to 208,053.75 and 313,277.25 is: 471,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,053.75 : 313,277.25 = 313,277.25 : x
  2. Step 2: Convert to fraction form
    208,053.75/313,277.25 = 313,277.25/x
  3. Step 3: Cross multiply
    208,053.75x = 313,277.25 × 313,277.25
  4. Step 4: Simplify right side
    208,053.75x = 98,142,635,367.56
  5. Step 5: Solve for x
    x = 98,142,635,367.56/208,053.75
  6. Step 6: Final answer
    x = 471,717.69

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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.