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Finding the Third Proportional to 155,418 and 236,163

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Solution

The third proportional to 155,418 and 236,163 is: 358,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,418 : 236,163 = 236,163 : x
  2. Step 2: Convert to fraction form
    155,418/236,163 = 236,163/x
  3. Step 3: Cross multiply
    155,418x = 236,163 × 236,163
  4. Step 4: Simplify right side
    155,418x = 55,772,962,569
  5. Step 5: Solve for x
    x = 55,772,962,569/155,418
  6. Step 6: Final answer
    x = 358,857.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.