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Finding the Third Proportional to 215,104 and 334,162

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Solution

The third proportional to 215,104 and 334,162 is: 519,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,104 : 334,162 = 334,162 : x
  2. Step 2: Convert to fraction form
    215,104/334,162 = 334,162/x
  3. Step 3: Cross multiply
    215,104x = 334,162 × 334,162
  4. Step 4: Simplify right side
    215,104x = 111,664,242,244
  5. Step 5: Solve for x
    x = 111,664,242,244/215,104
  6. Step 6: Final answer
    x = 519,117.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.