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Finding the Third Proportional to 211,952 and 449,176

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Solution

The third proportional to 211,952 and 449,176 is: 951,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,952 : 449,176 = 449,176 : x
  2. Step 2: Convert to fraction form
    211,952/449,176 = 449,176/x
  3. Step 3: Cross multiply
    211,952x = 449,176 × 449,176
  4. Step 4: Simplify right side
    211,952x = 201,759,078,976
  5. Step 5: Solve for x
    x = 201,759,078,976/211,952
  6. Step 6: Final answer
    x = 951,909.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.