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Finding the Third Proportional to 230,204 and 492,388

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Solution

The third proportional to 230,204 and 492,388 is: 1,053,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,204 : 492,388 = 492,388 : x
  2. Step 2: Convert to fraction form
    230,204/492,388 = 492,388/x
  3. Step 3: Cross multiply
    230,204x = 492,388 × 492,388
  4. Step 4: Simplify right side
    230,204x = 242,445,942,544
  5. Step 5: Solve for x
    x = 242,445,942,544/230,204
  6. Step 6: Final answer
    x = 1,053,178.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.