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Finding the Third Proportional to 162,982 and 360,956

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Solution

The third proportional to 162,982 and 360,956 is: 799,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,982 : 360,956 = 360,956 : x
  2. Step 2: Convert to fraction form
    162,982/360,956 = 360,956/x
  3. Step 3: Cross multiply
    162,982x = 360,956 × 360,956
  4. Step 4: Simplify right side
    162,982x = 130,289,233,936
  5. Step 5: Solve for x
    x = 130,289,233,936/162,982
  6. Step 6: Final answer
    x = 799,408.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.