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Finding the Third Proportional to 176,425 and 382,011

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Solution

The third proportional to 176,425 and 382,011 is: 827,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,425 : 382,011 = 382,011 : x
  2. Step 2: Convert to fraction form
    176,425/382,011 = 382,011/x
  3. Step 3: Cross multiply
    176,425x = 382,011 × 382,011
  4. Step 4: Simplify right side
    176,425x = 145,932,404,121
  5. Step 5: Solve for x
    x = 145,932,404,121/176,425
  6. Step 6: Final answer
    x = 827,163.97

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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.