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Finding the Third Proportional to 109,194 and 238,152

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Solution

The third proportional to 109,194 and 238,152 is: 519,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,194 : 238,152 = 238,152 : x
  2. Step 2: Convert to fraction form
    109,194/238,152 = 238,152/x
  3. Step 3: Cross multiply
    109,194x = 238,152 × 238,152
  4. Step 4: Simplify right side
    109,194x = 56,716,375,104
  5. Step 5: Solve for x
    x = 56,716,375,104/109,194
  6. Step 6: Final answer
    x = 519,409.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.