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Finding the Third Proportional to 166,363 and 255,970

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Solution

The third proportional to 166,363 and 255,970 is: 393,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,363 : 255,970 = 255,970 : x
  2. Step 2: Convert to fraction form
    166,363/255,970 = 255,970/x
  3. Step 3: Cross multiply
    166,363x = 255,970 × 255,970
  4. Step 4: Simplify right side
    166,363x = 65,520,640,900
  5. Step 5: Solve for x
    x = 65,520,640,900/166,363
  6. Step 6: Final answer
    x = 393,841.42

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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.