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Finding the Third Proportional to 112,194 and 242,225

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Solution

The third proportional to 112,194 and 242,225 is: 522,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,194 : 242,225 = 242,225 : x
  2. Step 2: Convert to fraction form
    112,194/242,225 = 242,225/x
  3. Step 3: Cross multiply
    112,194x = 242,225 × 242,225
  4. Step 4: Simplify right side
    112,194x = 58,672,950,625
  5. Step 5: Solve for x
    x = 58,672,950,625/112,194
  6. Step 6: Final answer
    x = 522,959.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.