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Finding the Third Proportional to 211,932 and 297,042

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Solution

The third proportional to 211,932 and 297,042 is: 416,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,932 : 297,042 = 297,042 : x
  2. Step 2: Convert to fraction form
    211,932/297,042 = 297,042/x
  3. Step 3: Cross multiply
    211,932x = 297,042 × 297,042
  4. Step 4: Simplify right side
    211,932x = 88,233,949,764
  5. Step 5: Solve for x
    x = 88,233,949,764/211,932
  6. Step 6: Final answer
    x = 416,331.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.