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Finding the Third Proportional to 182,436 and 400,836

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Solution

The third proportional to 182,436 and 400,836 is: 880,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,436 : 400,836 = 400,836 : x
  2. Step 2: Convert to fraction form
    182,436/400,836 = 400,836/x
  3. Step 3: Cross multiply
    182,436x = 400,836 × 400,836
  4. Step 4: Simplify right side
    182,436x = 160,669,498,896
  5. Step 5: Solve for x
    x = 160,669,498,896/182,436
  6. Step 6: Final answer
    x = 880,689.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.