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Finding the Third Proportional to 156,960 and 340,023

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Solution

The third proportional to 156,960 and 340,023 is: 736,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,960 : 340,023 = 340,023 : x
  2. Step 2: Convert to fraction form
    156,960/340,023 = 340,023/x
  3. Step 3: Cross multiply
    156,960x = 340,023 × 340,023
  4. Step 4: Simplify right side
    156,960x = 115,615,640,529
  5. Step 5: Solve for x
    x = 115,615,640,529/156,960
  6. Step 6: Final answer
    x = 736,593.02

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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.