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Finding the Third Proportional to 177,568 and 384,296

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Solution

The third proportional to 177,568 and 384,296 is: 831,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,568 : 384,296 = 384,296 : x
  2. Step 2: Convert to fraction form
    177,568/384,296 = 384,296/x
  3. Step 3: Cross multiply
    177,568x = 384,296 × 384,296
  4. Step 4: Simplify right side
    177,568x = 147,683,415,616
  5. Step 5: Solve for x
    x = 147,683,415,616/177,568
  6. Step 6: Final answer
    x = 831,700.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.