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Finding the Third Proportional to 170,215.88 and 256,058.44

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Solution

The third proportional to 170,215.88 and 256,058.44 is: 385,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,215.88 : 256,058.44 = 256,058.44 : x
  2. Step 2: Convert to fraction form
    170,215.88/256,058.44 = 256,058.44/x
  3. Step 3: Cross multiply
    170,215.88x = 256,058.44 × 256,058.44
  4. Step 4: Simplify right side
    170,215.88x = 65,565,923,414.94
  5. Step 5: Solve for x
    x = 65,565,923,414.94/170,215.88
  6. Step 6: Final answer
    x = 385,192.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.