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Finding the Third Proportional to 155,456 and 236,225

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Solution

The third proportional to 155,456 and 236,225 is: 358,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,456 : 236,225 = 236,225 : x
  2. Step 2: Convert to fraction form
    155,456/236,225 = 236,225/x
  3. Step 3: Cross multiply
    155,456x = 236,225 × 236,225
  4. Step 4: Simplify right side
    155,456x = 55,802,250,625
  5. Step 5: Solve for x
    x = 55,802,250,625/155,456
  6. Step 6: Final answer
    x = 358,958.49

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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.