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Finding the Third Proportional to 337,158 and 474,272

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Solution

The third proportional to 337,158 and 474,272 is: 667,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,158 : 474,272 = 474,272 : x
  2. Step 2: Convert to fraction form
    337,158/474,272 = 474,272/x
  3. Step 3: Cross multiply
    337,158x = 474,272 × 474,272
  4. Step 4: Simplify right side
    337,158x = 224,933,929,984
  5. Step 5: Solve for x
    x = 224,933,929,984/337,158
  6. Step 6: Final answer
    x = 667,146.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.