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Finding the Third Proportional to 185,868 and 406,296

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Solution

The third proportional to 185,868 and 406,296 is: 888,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,868 : 406,296 = 406,296 : x
  2. Step 2: Convert to fraction form
    185,868/406,296 = 406,296/x
  3. Step 3: Cross multiply
    185,868x = 406,296 × 406,296
  4. Step 4: Simplify right side
    185,868x = 165,076,439,616
  5. Step 5: Solve for x
    x = 165,076,439,616/185,868
  6. Step 6: Final answer
    x = 888,138.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.