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Finding the Third Proportional to 197,429.14 and 426,381.20

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Solution

The third proportional to 197,429.14 and 426,381.20 is: 920,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,429.14 : 426,381.20 = 426,381.20 : x
  2. Step 2: Convert to fraction form
    197,429.14/426,381.20 = 426,381.20/x
  3. Step 3: Cross multiply
    197,429.14x = 426,381.20 × 426,381.20
  4. Step 4: Simplify right side
    197,429.14x = 181,800,923,716.12
  5. Step 5: Solve for x
    x = 181,800,923,716.12/197,429.14
  6. Step 6: Final answer
    x = 920,841.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.