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Finding the Third Proportional to 177,234 and 382,296

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Solution

The third proportional to 177,234 and 382,296 is: 824,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,234 : 382,296 = 382,296 : x
  2. Step 2: Convert to fraction form
    177,234/382,296 = 382,296/x
  3. Step 3: Cross multiply
    177,234x = 382,296 × 382,296
  4. Step 4: Simplify right side
    177,234x = 146,150,231,616
  5. Step 5: Solve for x
    x = 146,150,231,616/177,234
  6. Step 6: Final answer
    x = 824,617.35

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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.