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Finding the Third Proportional to 237,939 and 317,214

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Solution

The third proportional to 237,939 and 317,214 is: 422,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,939 : 317,214 = 317,214 : x
  2. Step 2: Convert to fraction form
    237,939/317,214 = 317,214/x
  3. Step 3: Cross multiply
    237,939x = 317,214 × 317,214
  4. Step 4: Simplify right side
    237,939x = 100,624,721,796
  5. Step 5: Solve for x
    x = 100,624,721,796/237,939
  6. Step 6: Final answer
    x = 422,901.34

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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.