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Finding the Third Proportional to 208,538.25 and 323,175.75

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Solution

The third proportional to 208,538.25 and 323,175.75 is: 500,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,538.25 : 323,175.75 = 323,175.75 : x
  2. Step 2: Convert to fraction form
    208,538.25/323,175.75 = 323,175.75/x
  3. Step 3: Cross multiply
    208,538.25x = 323,175.75 × 323,175.75
  4. Step 4: Simplify right side
    208,538.25x = 104,442,565,388.06
  5. Step 5: Solve for x
    x = 104,442,565,388.06/208,538.25
  6. Step 6: Final answer
    x = 500,831.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.