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Finding the Third Proportional to 237,722 and 369,279

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Solution

The third proportional to 237,722 and 369,279 is: 573,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,722 : 369,279 = 369,279 : x
  2. Step 2: Convert to fraction form
    237,722/369,279 = 369,279/x
  3. Step 3: Cross multiply
    237,722x = 369,279 × 369,279
  4. Step 4: Simplify right side
    237,722x = 136,366,979,841
  5. Step 5: Solve for x
    x = 136,366,979,841/237,722
  6. Step 6: Final answer
    x = 573,640.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.