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Finding the Third Proportional to 156,891 and 340,980

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Solution

The third proportional to 156,891 and 340,980 is: 741,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,891 : 340,980 = 340,980 : x
  2. Step 2: Convert to fraction form
    156,891/340,980 = 340,980/x
  3. Step 3: Cross multiply
    156,891x = 340,980 × 340,980
  4. Step 4: Simplify right side
    156,891x = 116,267,360,400
  5. Step 5: Solve for x
    x = 116,267,360,400/156,891
  6. Step 6: Final answer
    x = 741,070.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.