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Finding the Third Proportional to 237,193 and 508,285

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Solution

The third proportional to 237,193 and 508,285 is: 1,089,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,193 : 508,285 = 508,285 : x
  2. Step 2: Convert to fraction form
    237,193/508,285 = 508,285/x
  3. Step 3: Cross multiply
    237,193x = 508,285 × 508,285
  4. Step 4: Simplify right side
    237,193x = 258,353,641,225
  5. Step 5: Solve for x
    x = 258,353,641,225/237,193
  6. Step 6: Final answer
    x = 1,089,212.76

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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.