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Finding the Third Proportional to 230,158 and 492,296

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Solution

The third proportional to 230,158 and 492,296 is: 1,052,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,158 : 492,296 = 492,296 : x
  2. Step 2: Convert to fraction form
    230,158/492,296 = 492,296/x
  3. Step 3: Cross multiply
    230,158x = 492,296 × 492,296
  4. Step 4: Simplify right side
    230,158x = 242,355,351,616
  5. Step 5: Solve for x
    x = 242,355,351,616/230,158
  6. Step 6: Final answer
    x = 1,052,995.56

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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.