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Finding the Third Proportional to 182,086 and 371,399

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Solution

The third proportional to 182,086 and 371,399 is: 757,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,086 : 371,399 = 371,399 : x
  2. Step 2: Convert to fraction form
    182,086/371,399 = 371,399/x
  3. Step 3: Cross multiply
    182,086x = 371,399 × 371,399
  4. Step 4: Simplify right side
    182,086x = 137,937,217,201
  5. Step 5: Solve for x
    x = 137,937,217,201/182,086
  6. Step 6: Final answer
    x = 757,538.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.