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Finding the Third Proportional to 166,303 and 256,016

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Solution

The third proportional to 166,303 and 256,016 is: 394,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,303 : 256,016 = 256,016 : x
  2. Step 2: Convert to fraction form
    166,303/256,016 = 256,016/x
  3. Step 3: Cross multiply
    166,303x = 256,016 × 256,016
  4. Step 4: Simplify right side
    166,303x = 65,544,192,256
  5. Step 5: Solve for x
    x = 65,544,192,256/166,303
  6. Step 6: Final answer
    x = 394,125.13

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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.