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Finding the Third Proportional to 237,976 and 317,264

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Solution

The third proportional to 237,976 and 317,264 is: 422,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,976 : 317,264 = 317,264 : x
  2. Step 2: Convert to fraction form
    237,976/317,264 = 317,264/x
  3. Step 3: Cross multiply
    237,976x = 317,264 × 317,264
  4. Step 4: Simplify right side
    237,976x = 100,656,445,696
  5. Step 5: Solve for x
    x = 100,656,445,696/237,976
  6. Step 6: Final answer
    x = 422,968.89

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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.