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Finding the Third Proportional to 237,964 and 317,250

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Solution

The third proportional to 237,964 and 317,250 is: 422,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,964 : 317,250 = 317,250 : x
  2. Step 2: Convert to fraction form
    237,964/317,250 = 317,250/x
  3. Step 3: Cross multiply
    237,964x = 317,250 × 317,250
  4. Step 4: Simplify right side
    237,964x = 100,647,562,500
  5. Step 5: Solve for x
    x = 100,647,562,500/237,964
  6. Step 6: Final answer
    x = 422,952.89

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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.