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Finding the Third Proportional to 176,832 and 384,444

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Solution

The third proportional to 176,832 and 384,444 is: 835,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,832 : 384,444 = 384,444 : x
  2. Step 2: Convert to fraction form
    176,832/384,444 = 384,444/x
  3. Step 3: Cross multiply
    176,832x = 384,444 × 384,444
  4. Step 4: Simplify right side
    176,832x = 147,797,189,136
  5. Step 5: Solve for x
    x = 147,797,189,136/176,832
  6. Step 6: Final answer
    x = 835,805.68

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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.