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Finding the Third Proportional to 178,492 and 388,084

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Solution

The third proportional to 178,492 and 388,084 is: 843,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,492 : 388,084 = 388,084 : x
  2. Step 2: Convert to fraction form
    178,492/388,084 = 388,084/x
  3. Step 3: Cross multiply
    178,492x = 388,084 × 388,084
  4. Step 4: Simplify right side
    178,492x = 150,609,191,056
  5. Step 5: Solve for x
    x = 150,609,191,056/178,492
  6. Step 6: Final answer
    x = 843,786.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.