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Finding the Third Proportional to 156,724 and 343,493

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Solution

The third proportional to 156,724 and 343,493 is: 752,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,724 : 343,493 = 343,493 : x
  2. Step 2: Convert to fraction form
    156,724/343,493 = 343,493/x
  3. Step 3: Cross multiply
    156,724x = 343,493 × 343,493
  4. Step 4: Simplify right side
    156,724x = 117,987,441,049
  5. Step 5: Solve for x
    x = 117,987,441,049/156,724
  6. Step 6: Final answer
    x = 752,835.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.