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Finding the Third Proportional to 156,897 and 340,992

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Solution

The third proportional to 156,897 and 340,992 is: 741,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,897 : 340,992 = 340,992 : x
  2. Step 2: Convert to fraction form
    156,897/340,992 = 340,992/x
  3. Step 3: Cross multiply
    156,897x = 340,992 × 340,992
  4. Step 4: Simplify right side
    156,897x = 116,275,544,064
  5. Step 5: Solve for x
    x = 116,275,544,064/156,897
  6. Step 6: Final answer
    x = 741,094.76

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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.