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Finding the Third Proportional to 140,794 and 306,374

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Solution

The third proportional to 140,794 and 306,374 is: 666,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,794 : 306,374 = 306,374 : x
  2. Step 2: Convert to fraction form
    140,794/306,374 = 306,374/x
  3. Step 3: Cross multiply
    140,794x = 306,374 × 306,374
  4. Step 4: Simplify right side
    140,794x = 93,865,027,876
  5. Step 5: Solve for x
    x = 93,865,027,876/140,794
  6. Step 6: Final answer
    x = 666,683.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.