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Finding the Third Proportional to 150,002 and 316,858

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Solution

The third proportional to 150,002 and 316,858 is: 669,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,002 : 316,858 = 316,858 : x
  2. Step 2: Convert to fraction form
    150,002/316,858 = 316,858/x
  3. Step 3: Cross multiply
    150,002x = 316,858 × 316,858
  4. Step 4: Simplify right side
    150,002x = 100,398,992,164
  5. Step 5: Solve for x
    x = 100,398,992,164/150,002
  6. Step 6: Final answer
    x = 669,317.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.