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Finding the Third Proportional to 109,194 and 239,160

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Solution

The third proportional to 109,194 and 239,160 is: 523,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,194 : 239,160 = 239,160 : x
  2. Step 2: Convert to fraction form
    109,194/239,160 = 239,160/x
  3. Step 3: Cross multiply
    109,194x = 239,160 × 239,160
  4. Step 4: Simplify right side
    109,194x = 57,197,505,600
  5. Step 5: Solve for x
    x = 57,197,505,600/109,194
  6. Step 6: Final answer
    x = 523,815.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.