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Finding the Third Proportional to 158,380 and 336,194

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Solution

The third proportional to 158,380 and 336,194 is: 713,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,380 : 336,194 = 336,194 : x
  2. Step 2: Convert to fraction form
    158,380/336,194 = 336,194/x
  3. Step 3: Cross multiply
    158,380x = 336,194 × 336,194
  4. Step 4: Simplify right side
    158,380x = 113,026,405,636
  5. Step 5: Solve for x
    x = 113,026,405,636/158,380
  6. Step 6: Final answer
    x = 713,640.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.