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Finding the Third Proportional to 73,256 and 156,880

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Solution

The third proportional to 73,256 and 156,880 is: 335,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,256 : 156,880 = 156,880 : x
  2. Step 2: Convert to fraction form
    73,256/156,880 = 156,880/x
  3. Step 3: Cross multiply
    73,256x = 156,880 × 156,880
  4. Step 4: Simplify right side
    73,256x = 24,611,334,400
  5. Step 5: Solve for x
    x = 24,611,334,400/73,256
  6. Step 6: Final answer
    x = 335,963.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.