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Finding the Third Proportional to 211,984 and 297,116

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Solution

The third proportional to 211,984 and 297,116 is: 416,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,984 : 297,116 = 297,116 : x
  2. Step 2: Convert to fraction form
    211,984/297,116 = 297,116/x
  3. Step 3: Cross multiply
    211,984x = 297,116 × 297,116
  4. Step 4: Simplify right side
    211,984x = 88,277,917,456
  5. Step 5: Solve for x
    x = 88,277,917,456/211,984
  6. Step 6: Final answer
    x = 416,436.70

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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.