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Finding the Third Proportional to 166,364 and 255,972

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Solution

The third proportional to 166,364 and 255,972 is: 393,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,364 : 255,972 = 255,972 : x
  2. Step 2: Convert to fraction form
    166,364/255,972 = 255,972/x
  3. Step 3: Cross multiply
    166,364x = 255,972 × 255,972
  4. Step 4: Simplify right side
    166,364x = 65,521,664,784
  5. Step 5: Solve for x
    x = 65,521,664,784/166,364
  6. Step 6: Final answer
    x = 393,845.21

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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.