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Finding the Third Proportional to 182,008 and 393,612

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Solution

The third proportional to 182,008 and 393,612 is: 851,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,008 : 393,612 = 393,612 : x
  2. Step 2: Convert to fraction form
    182,008/393,612 = 393,612/x
  3. Step 3: Cross multiply
    182,008x = 393,612 × 393,612
  4. Step 4: Simplify right side
    182,008x = 154,930,406,544
  5. Step 5: Solve for x
    x = 154,930,406,544/182,008
  6. Step 6: Final answer
    x = 851,228.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.