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Finding the Third Proportional to 134,680.78 and 200,853.42

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Solution

The third proportional to 134,680.78 and 200,853.42 is: 299,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,680.78 : 200,853.42 = 200,853.42 : x
  2. Step 2: Convert to fraction form
    134,680.78/200,853.42 = 200,853.42/x
  3. Step 3: Cross multiply
    134,680.78x = 200,853.42 × 200,853.42
  4. Step 4: Simplify right side
    134,680.78x = 40,342,097,078.90
  5. Step 5: Solve for x
    x = 40,342,097,078.90/134,680.78
  6. Step 6: Final answer
    x = 299,538.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.