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Finding the Third Proportional to 156,656 and 236,436

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Solution

The third proportional to 156,656 and 236,436 is: 356,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,656 : 236,436 = 236,436 : x
  2. Step 2: Convert to fraction form
    156,656/236,436 = 236,436/x
  3. Step 3: Cross multiply
    156,656x = 236,436 × 236,436
  4. Step 4: Simplify right side
    156,656x = 55,901,982,096
  5. Step 5: Solve for x
    x = 55,901,982,096/156,656
  6. Step 6: Final answer
    x = 356,845.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.