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Finding the Third Proportional to 337,160 and 474,275

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Solution

The third proportional to 337,160 and 474,275 is: 667,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,160 : 474,275 = 474,275 : x
  2. Step 2: Convert to fraction form
    337,160/474,275 = 474,275/x
  3. Step 3: Cross multiply
    337,160x = 474,275 × 474,275
  4. Step 4: Simplify right side
    337,160x = 224,936,775,625
  5. Step 5: Solve for x
    x = 224,936,775,625/337,160
  6. Step 6: Final answer
    x = 667,151.43

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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.