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Finding the Third Proportional to 181,182 and 384,288

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Solution

The third proportional to 181,182 and 384,288 is: 815,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,182 : 384,288 = 384,288 : x
  2. Step 2: Convert to fraction form
    181,182/384,288 = 384,288/x
  3. Step 3: Cross multiply
    181,182x = 384,288 × 384,288
  4. Step 4: Simplify right side
    181,182x = 147,677,266,944
  5. Step 5: Solve for x
    x = 147,677,266,944/181,182
  6. Step 6: Final answer
    x = 815,076.92

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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.