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Finding the Third Proportional to 237,825 and 348,204

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Solution

The third proportional to 237,825 and 348,204 is: 509,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,825 : 348,204 = 348,204 : x
  2. Step 2: Convert to fraction form
    237,825/348,204 = 348,204/x
  3. Step 3: Cross multiply
    237,825x = 348,204 × 348,204
  4. Step 4: Simplify right side
    237,825x = 121,246,025,616
  5. Step 5: Solve for x
    x = 121,246,025,616/237,825
  6. Step 6: Final answer
    x = 509,811.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.