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Finding the Third Proportional to 103,468 and 220,504

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Solution

The third proportional to 103,468 and 220,504 is: 469,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,468 : 220,504 = 220,504 : x
  2. Step 2: Convert to fraction form
    103,468/220,504 = 220,504/x
  3. Step 3: Cross multiply
    103,468x = 220,504 × 220,504
  4. Step 4: Simplify right side
    103,468x = 48,622,014,016
  5. Step 5: Solve for x
    x = 48,622,014,016/103,468
  6. Step 6: Final answer
    x = 469,923.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.