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Finding the Third Proportional to 166,356 and 255,960

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Solution

The third proportional to 166,356 and 255,960 is: 393,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,356 : 255,960 = 255,960 : x
  2. Step 2: Convert to fraction form
    166,356/255,960 = 255,960/x
  3. Step 3: Cross multiply
    166,356x = 255,960 × 255,960
  4. Step 4: Simplify right side
    166,356x = 65,515,521,600
  5. Step 5: Solve for x
    x = 65,515,521,600/166,356
  6. Step 6: Final answer
    x = 393,827.22

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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.