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Finding the Third Proportional to 134,434.13 and 206,351.44

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Solution

The third proportional to 134,434.13 and 206,351.44 is: 316,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,434.13 : 206,351.44 = 206,351.44 : x
  2. Step 2: Convert to fraction form
    134,434.13/206,351.44 = 206,351.44/x
  3. Step 3: Cross multiply
    134,434.13x = 206,351.44 × 206,351.44
  4. Step 4: Simplify right side
    134,434.13x = 42,580,915,758.32
  5. Step 5: Solve for x
    x = 42,580,915,758.32/134,434.13
  6. Step 6: Final answer
    x = 316,741.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.