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Finding the Third Proportional to 163,982 and 360,064

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Solution

The third proportional to 163,982 and 360,064 is: 790,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,982 : 360,064 = 360,064 : x
  2. Step 2: Convert to fraction form
    163,982/360,064 = 360,064/x
  3. Step 3: Cross multiply
    163,982x = 360,064 × 360,064
  4. Step 4: Simplify right side
    163,982x = 129,646,084,096
  5. Step 5: Solve for x
    x = 129,646,084,096/163,982
  6. Step 6: Final answer
    x = 790,611.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.