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Finding the Third Proportional to 228,831 and 346,203

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Solution

The third proportional to 228,831 and 346,203 is: 523,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,831 : 346,203 = 346,203 : x
  2. Step 2: Convert to fraction form
    228,831/346,203 = 346,203/x
  3. Step 3: Cross multiply
    228,831x = 346,203 × 346,203
  4. Step 4: Simplify right side
    228,831x = 119,856,517,209
  5. Step 5: Solve for x
    x = 119,856,517,209/228,831
  6. Step 6: Final answer
    x = 523,777.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.