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Finding the Third Proportional to 134,650.41 and 204,773.91

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Solution

The third proportional to 134,650.41 and 204,773.91 is: 311,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,650.41 : 204,773.91 = 204,773.91 : x
  2. Step 2: Convert to fraction form
    134,650.41/204,773.91 = 204,773.91/x
  3. Step 3: Cross multiply
    134,650.41x = 204,773.91 × 204,773.91
  4. Step 4: Simplify right side
    134,650.41x = 41,932,352,680.88
  5. Step 5: Solve for x
    x = 41,932,352,680.88/134,650.41
  6. Step 6: Final answer
    x = 311,416.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.