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Finding the Third Proportional to 156,986 and 341,993

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Solution

The third proportional to 156,986 and 341,993 is: 745,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,986 : 341,993 = 341,993 : x
  2. Step 2: Convert to fraction form
    156,986/341,993 = 341,993/x
  3. Step 3: Cross multiply
    156,986x = 341,993 × 341,993
  4. Step 4: Simplify right side
    156,986x = 116,959,212,049
  5. Step 5: Solve for x
    x = 116,959,212,049/156,986
  6. Step 6: Final answer
    x = 745,029.57

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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.