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Finding the Third Proportional to 150,831 and 316,350

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Solution

The third proportional to 150,831 and 316,350 is: 663,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,831 : 316,350 = 316,350 : x
  2. Step 2: Convert to fraction form
    150,831/316,350 = 316,350/x
  3. Step 3: Cross multiply
    150,831x = 316,350 × 316,350
  4. Step 4: Simplify right side
    150,831x = 100,077,322,500
  5. Step 5: Solve for x
    x = 100,077,322,500/150,831
  6. Step 6: Final answer
    x = 663,506.32

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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.