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Finding the Third Proportional to 140,793 and 306,371

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Solution

The third proportional to 140,793 and 306,371 is: 666,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,793 : 306,371 = 306,371 : x
  2. Step 2: Convert to fraction form
    140,793/306,371 = 306,371/x
  3. Step 3: Cross multiply
    140,793x = 306,371 × 306,371
  4. Step 4: Simplify right side
    140,793x = 93,863,189,641
  5. Step 5: Solve for x
    x = 93,863,189,641/140,793
  6. Step 6: Final answer
    x = 666,675.12

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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.