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Finding the Third Proportional to 236,174 and 369,422

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Solution

The third proportional to 236,174 and 369,422 is: 577,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,174 : 369,422 = 369,422 : x
  2. Step 2: Convert to fraction form
    236,174/369,422 = 369,422/x
  3. Step 3: Cross multiply
    236,174x = 369,422 × 369,422
  4. Step 4: Simplify right side
    236,174x = 136,472,614,084
  5. Step 5: Solve for x
    x = 136,472,614,084/236,174
  6. Step 6: Final answer
    x = 577,847.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.