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Finding the Third Proportional to 227,994.75 and 340,716.38

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Solution

The third proportional to 227,994.75 and 340,716.38 is: 509,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,994.75 : 340,716.38 = 340,716.38 : x
  2. Step 2: Convert to fraction form
    227,994.75/340,716.38 = 340,716.38/x
  3. Step 3: Cross multiply
    227,994.75x = 340,716.38 × 340,716.38
  4. Step 4: Simplify right side
    227,994.75x = 116,087,648,193.14
  5. Step 5: Solve for x
    x = 116,087,648,193.14/227,994.75
  6. Step 6: Final answer
    x = 509,168.08

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Why These Related Problems?

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