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Finding the Third Proportional to 271,297.69 and 371,764.69

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Solution

The third proportional to 271,297.69 and 371,764.69 is: 509,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,297.69 : 371,764.69 = 371,764.69 : x
  2. Step 2: Convert to fraction form
    271,297.69/371,764.69 = 371,764.69/x
  3. Step 3: Cross multiply
    271,297.69x = 371,764.69 × 371,764.69
  4. Step 4: Simplify right side
    271,297.69x = 138,208,982,871.97
  5. Step 5: Solve for x
    x = 138,208,982,871.97/271,297.69
  6. Step 6: Final answer
    x = 509,436.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.