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Finding the Third Proportional to 166,314 and 256,032

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Solution

The third proportional to 166,314 and 256,032 is: 394,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,314 : 256,032 = 256,032 : x
  2. Step 2: Convert to fraction form
    166,314/256,032 = 256,032/x
  3. Step 3: Cross multiply
    166,314x = 256,032 × 256,032
  4. Step 4: Simplify right side
    166,314x = 65,552,385,024
  5. Step 5: Solve for x
    x = 65,552,385,024/166,314
  6. Step 6: Final answer
    x = 394,148.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.