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Finding the Third Proportional to 205,080 and 446,064

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Solution

The third proportional to 205,080 and 446,064 is: 970,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,080 : 446,064 = 446,064 : x
  2. Step 2: Convert to fraction form
    205,080/446,064 = 446,064/x
  3. Step 3: Cross multiply
    205,080x = 446,064 × 446,064
  4. Step 4: Simplify right side
    205,080x = 198,973,092,096
  5. Step 5: Solve for x
    x = 198,973,092,096/205,080
  6. Step 6: Final answer
    x = 970,221.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.