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Finding the Third Proportional to 281,168 and 449,693

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Solution

The third proportional to 281,168 and 449,693 is: 719,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,168 : 449,693 = 449,693 : x
  2. Step 2: Convert to fraction form
    281,168/449,693 = 449,693/x
  3. Step 3: Cross multiply
    281,168x = 449,693 × 449,693
  4. Step 4: Simplify right side
    281,168x = 202,223,794,249
  5. Step 5: Solve for x
    x = 202,223,794,249/281,168
  6. Step 6: Final answer
    x = 719,227.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.