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Finding the Third Proportional to 166,472 and 256,148

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Solution

The third proportional to 166,472 and 256,148 is: 394,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,472 : 256,148 = 256,148 : x
  2. Step 2: Convert to fraction form
    166,472/256,148 = 256,148/x
  3. Step 3: Cross multiply
    166,472x = 256,148 × 256,148
  4. Step 4: Simplify right side
    166,472x = 65,611,797,904
  5. Step 5: Solve for x
    x = 65,611,797,904/166,472
  6. Step 6: Final answer
    x = 394,131.13

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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.