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Finding the Third Proportional to 237,950 and 317,233

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Solution

The third proportional to 237,950 and 317,233 is: 422,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,950 : 317,233 = 317,233 : x
  2. Step 2: Convert to fraction form
    237,950/317,233 = 317,233/x
  3. Step 3: Cross multiply
    237,950x = 317,233 × 317,233
  4. Step 4: Simplify right side
    237,950x = 100,636,776,289
  5. Step 5: Solve for x
    x = 100,636,776,289/237,950
  6. Step 6: Final answer
    x = 422,932.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.