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Finding the Third Proportional to 156,944 and 201,512

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Solution

The third proportional to 156,944 and 201,512 is: 258,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,944 : 201,512 = 201,512 : x
  2. Step 2: Convert to fraction form
    156,944/201,512 = 201,512/x
  3. Step 3: Cross multiply
    156,944x = 201,512 × 201,512
  4. Step 4: Simplify right side
    156,944x = 40,607,086,144
  5. Step 5: Solve for x
    x = 40,607,086,144/156,944
  6. Step 6: Final answer
    x = 258,736.15

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.