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Finding the Third Proportional to 176,367 and 270,248

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Solution

The third proportional to 176,367 and 270,248 is: 414,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,367 : 270,248 = 270,248 : x
  2. Step 2: Convert to fraction form
    176,367/270,248 = 270,248/x
  3. Step 3: Cross multiply
    176,367x = 270,248 × 270,248
  4. Step 4: Simplify right side
    176,367x = 73,033,981,504
  5. Step 5: Solve for x
    x = 73,033,981,504/176,367
  6. Step 6: Final answer
    x = 414,102.31

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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.