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Finding the Third Proportional to 129,426.19 and 302,286.09

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Solution

The third proportional to 129,426.19 and 302,286.09 is: 706,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,426.19 : 302,286.09 = 302,286.09 : x
  2. Step 2: Convert to fraction form
    129,426.19/302,286.09 = 302,286.09/x
  3. Step 3: Cross multiply
    129,426.19x = 302,286.09 × 302,286.09
  4. Step 4: Simplify right side
    129,426.19x = 91,376,882,474.63
  5. Step 5: Solve for x
    x = 91,376,882,474.63/129,426.19
  6. Step 6: Final answer
    x = 706,015.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.