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Finding the Third Proportional to 181,932 and 382,713

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Solution

The third proportional to 181,932 and 382,713 is: 805,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,932 : 382,713 = 382,713 : x
  2. Step 2: Convert to fraction form
    181,932/382,713 = 382,713/x
  3. Step 3: Cross multiply
    181,932x = 382,713 × 382,713
  4. Step 4: Simplify right side
    181,932x = 146,469,240,369
  5. Step 5: Solve for x
    x = 146,469,240,369/181,932
  6. Step 6: Final answer
    x = 805,076.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.