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Finding the Third Proportional to 226,968 and 334,176

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Solution

The third proportional to 226,968 and 334,176 is: 492,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,968 : 334,176 = 334,176 : x
  2. Step 2: Convert to fraction form
    226,968/334,176 = 334,176/x
  3. Step 3: Cross multiply
    226,968x = 334,176 × 334,176
  4. Step 4: Simplify right side
    226,968x = 111,673,598,976
  5. Step 5: Solve for x
    x = 111,673,598,976/226,968
  6. Step 6: Final answer
    x = 492,023.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.