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Finding the Third Proportional to 281,160 and 449,676

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Solution

The third proportional to 281,160 and 449,676 is: 719,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,160 : 449,676 = 449,676 : x
  2. Step 2: Convert to fraction form
    281,160/449,676 = 449,676/x
  3. Step 3: Cross multiply
    281,160x = 449,676 × 449,676
  4. Step 4: Simplify right side
    281,160x = 202,208,504,976
  5. Step 5: Solve for x
    x = 202,208,504,976/281,160
  6. Step 6: Final answer
    x = 719,193.72

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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.