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Finding the Third Proportional to 150,214 and 231,944

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Solution

The third proportional to 150,214 and 231,944 is: 358,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,214 : 231,944 = 231,944 : x
  2. Step 2: Convert to fraction form
    150,214/231,944 = 231,944/x
  3. Step 3: Cross multiply
    150,214x = 231,944 × 231,944
  4. Step 4: Simplify right side
    150,214x = 53,798,019,136
  5. Step 5: Solve for x
    x = 53,798,019,136/150,214
  6. Step 6: Final answer
    x = 358,142.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.