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Finding the Third Proportional to 176,694 and 270,225

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Solution

The third proportional to 176,694 and 270,225 is: 413,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,694 : 270,225 = 270,225 : x
  2. Step 2: Convert to fraction form
    176,694/270,225 = 270,225/x
  3. Step 3: Cross multiply
    176,694x = 270,225 × 270,225
  4. Step 4: Simplify right side
    176,694x = 73,021,550,625
  5. Step 5: Solve for x
    x = 73,021,550,625/176,694
  6. Step 6: Final answer
    x = 413,265.59

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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.