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Finding the Third Proportional to 162,920 and 360,832

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Solution

The third proportional to 162,920 and 360,832 is: 799,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,920 : 360,832 = 360,832 : x
  2. Step 2: Convert to fraction form
    162,920/360,832 = 360,832/x
  3. Step 3: Cross multiply
    162,920x = 360,832 × 360,832
  4. Step 4: Simplify right side
    162,920x = 130,199,732,224
  5. Step 5: Solve for x
    x = 130,199,732,224/162,920
  6. Step 6: Final answer
    x = 799,163.59

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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.