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Finding the Third Proportional to 160,966 and 256,225

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Solution

The third proportional to 160,966 and 256,225 is: 407,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,966 : 256,225 = 256,225 : x
  2. Step 2: Convert to fraction form
    160,966/256,225 = 256,225/x
  3. Step 3: Cross multiply
    160,966x = 256,225 × 256,225
  4. Step 4: Simplify right side
    160,966x = 65,651,250,625
  5. Step 5: Solve for x
    x = 65,651,250,625/160,966
  6. Step 6: Final answer
    x = 407,857.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.