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Finding the Third Proportional to 179,604 and 276,144

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Solution

The third proportional to 179,604 and 276,144 is: 424,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,604 : 276,144 = 276,144 : x
  2. Step 2: Convert to fraction form
    179,604/276,144 = 276,144/x
  3. Step 3: Cross multiply
    179,604x = 276,144 × 276,144
  4. Step 4: Simplify right side
    179,604x = 76,255,508,736
  5. Step 5: Solve for x
    x = 76,255,508,736/179,604
  6. Step 6: Final answer
    x = 424,575.78

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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.