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Finding the Third Proportional to 107,296 and 230,176

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Solution

The third proportional to 107,296 and 230,176 is: 493,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,296 : 230,176 = 230,176 : x
  2. Step 2: Convert to fraction form
    107,296/230,176 = 230,176/x
  3. Step 3: Cross multiply
    107,296x = 230,176 × 230,176
  4. Step 4: Simplify right side
    107,296x = 52,980,990,976
  5. Step 5: Solve for x
    x = 52,980,990,976/107,296
  6. Step 6: Final answer
    x = 493,783.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.