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Finding the Third Proportional to 179,792 and 394,144

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Solution

The third proportional to 179,792 and 394,144 is: 864,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,792 : 394,144 = 394,144 : x
  2. Step 2: Convert to fraction form
    179,792/394,144 = 394,144/x
  3. Step 3: Cross multiply
    179,792x = 394,144 × 394,144
  4. Step 4: Simplify right side
    179,792x = 155,349,492,736
  5. Step 5: Solve for x
    x = 155,349,492,736/179,792
  6. Step 6: Final answer
    x = 864,051.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.