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Finding the Third Proportional to 69,246.75 and 163,374

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Solution

The third proportional to 69,246.75 and 163,374 is: 385,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,246.75 : 163,374 = 163,374 : x
  2. Step 2: Convert to fraction form
    69,246.75/163,374 = 163,374/x
  3. Step 3: Cross multiply
    69,246.75x = 163,374 × 163,374
  4. Step 4: Simplify right side
    69,246.75x = 26,691,063,876
  5. Step 5: Solve for x
    x = 26,691,063,876/69,246.75
  6. Step 6: Final answer
    x = 385,448.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.