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Finding the Third Proportional to 248,544 and 381,168

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Solution

The third proportional to 248,544 and 381,168 is: 584,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,544 : 381,168 = 381,168 : x
  2. Step 2: Convert to fraction form
    248,544/381,168 = 381,168/x
  3. Step 3: Cross multiply
    248,544x = 381,168 × 381,168
  4. Step 4: Simplify right side
    248,544x = 145,289,044,224
  5. Step 5: Solve for x
    x = 145,289,044,224/248,544
  6. Step 6: Final answer
    x = 584,560.66

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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.