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Finding the Third Proportional to 134,648.58 and 204,770.53

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Solution

The third proportional to 134,648.58 and 204,770.53 is: 311,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,648.58 : 204,770.53 = 204,770.53 : x
  2. Step 2: Convert to fraction form
    134,648.58/204,770.53 = 204,770.53/x
  3. Step 3: Cross multiply
    134,648.58x = 204,770.53 × 204,770.53
  4. Step 4: Simplify right side
    134,648.58x = 41,930,970,468.41
  5. Step 5: Solve for x
    x = 41,930,970,468.41/134,648.58
  6. Step 6: Final answer
    x = 311,410.42

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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.