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Finding the Third Proportional to 134,414.44 and 202,658.63

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Solution

The third proportional to 134,414.44 and 202,658.63 is: 305,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,414.44 : 202,658.63 = 202,658.63 : x
  2. Step 2: Convert to fraction form
    134,414.44/202,658.63 = 202,658.63/x
  3. Step 3: Cross multiply
    134,414.44x = 202,658.63 × 202,658.63
  4. Step 4: Simplify right side
    134,414.44x = 41,070,518,286.89
  5. Step 5: Solve for x
    x = 41,070,518,286.89/134,414.44
  6. Step 6: Final answer
    x = 305,551.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.