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Finding the Third Proportional to 179,945 and 382,029

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Solution

The third proportional to 179,945 and 382,029 is: 811,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,945 : 382,029 = 382,029 : x
  2. Step 2: Convert to fraction form
    179,945/382,029 = 382,029/x
  3. Step 3: Cross multiply
    179,945x = 382,029 × 382,029
  4. Step 4: Simplify right side
    179,945x = 145,946,156,841
  5. Step 5: Solve for x
    x = 145,946,156,841/179,945
  6. Step 6: Final answer
    x = 811,059.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.