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Finding the Third Proportional to 166,472 and 255,296

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Solution

The third proportional to 166,472 and 255,296 is: 391,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,472 : 255,296 = 255,296 : x
  2. Step 2: Convert to fraction form
    166,472/255,296 = 255,296/x
  3. Step 3: Cross multiply
    166,472x = 255,296 × 255,296
  4. Step 4: Simplify right side
    166,472x = 65,176,047,616
  5. Step 5: Solve for x
    x = 65,176,047,616/166,472
  6. Step 6: Final answer
    x = 391,513.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.