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Finding the Third Proportional to 140,919 and 295,684

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Solution

The third proportional to 140,919 and 295,684 is: 620,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,919 : 295,684 = 295,684 : x
  2. Step 2: Convert to fraction form
    140,919/295,684 = 295,684/x
  3. Step 3: Cross multiply
    140,919x = 295,684 × 295,684
  4. Step 4: Simplify right side
    140,919x = 87,429,027,856
  5. Step 5: Solve for x
    x = 87,429,027,856/140,919
  6. Step 6: Final answer
    x = 620,420.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.