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Finding the Third Proportional to 156,529 and 233,869

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Solution

The third proportional to 156,529 and 233,869 is: 349,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,529 : 233,869 = 233,869 : x
  2. Step 2: Convert to fraction form
    156,529/233,869 = 233,869/x
  3. Step 3: Cross multiply
    156,529x = 233,869 × 233,869
  4. Step 4: Simplify right side
    156,529x = 54,694,709,161
  5. Step 5: Solve for x
    x = 54,694,709,161/156,529
  6. Step 6: Final answer
    x = 349,422.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.