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Finding the Third Proportional to 114,194 and 245,848

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Solution

The third proportional to 114,194 and 245,848 is: 529,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,194 : 245,848 = 245,848 : x
  2. Step 2: Convert to fraction form
    114,194/245,848 = 245,848/x
  3. Step 3: Cross multiply
    114,194x = 245,848 × 245,848
  4. Step 4: Simplify right side
    114,194x = 60,441,239,104
  5. Step 5: Solve for x
    x = 60,441,239,104/114,194
  6. Step 6: Final answer
    x = 529,285.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.