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Finding the Third Proportional to 237,969 and 317,257.50

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Solution

The third proportional to 237,969 and 317,257.50 is: 422,964.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,969 : 317,257.50 = 317,257.50 : x
  2. Step 2: Convert to fraction form
    237,969/317,257.50 = 317,257.50/x
  3. Step 3: Cross multiply
    237,969x = 317,257.50 × 317,257.50
  4. Step 4: Simplify right side
    237,969x = 100,652,321,306.25
  5. Step 5: Solve for x
    x = 100,652,321,306.25/237,969
  6. Step 6: Final answer
    x = 422,964.01

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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.