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Finding the Third Proportional to 162,015.75 and 334,392.75

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Solution

The third proportional to 162,015.75 and 334,392.75 is: 690,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,015.75 : 334,392.75 = 334,392.75 : x
  2. Step 2: Convert to fraction form
    162,015.75/334,392.75 = 334,392.75/x
  3. Step 3: Cross multiply
    162,015.75x = 334,392.75 × 334,392.75
  4. Step 4: Simplify right side
    162,015.75x = 111,818,511,252.56
  5. Step 5: Solve for x
    x = 111,818,511,252.56/162,015.75
  6. Step 6: Final answer
    x = 690,170.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.