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Finding the Third Proportional to 156,956 and 340,120

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Solution

The third proportional to 156,956 and 340,120 is: 737,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,956 : 340,120 = 340,120 : x
  2. Step 2: Convert to fraction form
    156,956/340,120 = 340,120/x
  3. Step 3: Cross multiply
    156,956x = 340,120 × 340,120
  4. Step 4: Simplify right side
    156,956x = 115,681,614,400
  5. Step 5: Solve for x
    x = 115,681,614,400/156,956
  6. Step 6: Final answer
    x = 737,032.13

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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.