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Finding the Third Proportional to 162,991 and 336,134

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Solution

The third proportional to 162,991 and 336,134 is: 693,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,991 : 336,134 = 336,134 : x
  2. Step 2: Convert to fraction form
    162,991/336,134 = 336,134/x
  3. Step 3: Cross multiply
    162,991x = 336,134 × 336,134
  4. Step 4: Simplify right side
    162,991x = 112,986,065,956
  5. Step 5: Solve for x
    x = 112,986,065,956/162,991
  6. Step 6: Final answer
    x = 693,204.32

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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.