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Finding the Third Proportional to 208,023 and 449,192

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Solution

The third proportional to 208,023 and 449,192 is: 969,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,023 : 449,192 = 449,192 : x
  2. Step 2: Convert to fraction form
    208,023/449,192 = 449,192/x
  3. Step 3: Cross multiply
    208,023x = 449,192 × 449,192
  4. Step 4: Simplify right side
    208,023x = 201,773,452,864
  5. Step 5: Solve for x
    x = 201,773,452,864/208,023
  6. Step 6: Final answer
    x = 969,957.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.