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Finding the Third Proportional to 237,970 and 317,259

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Solution

The third proportional to 237,970 and 317,259 is: 422,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,970 : 317,259 = 317,259 : x
  2. Step 2: Convert to fraction form
    237,970/317,259 = 317,259/x
  3. Step 3: Cross multiply
    237,970x = 317,259 × 317,259
  4. Step 4: Simplify right side
    237,970x = 100,653,273,081
  5. Step 5: Solve for x
    x = 100,653,273,081/237,970
  6. Step 6: Final answer
    x = 422,966.23

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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.