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Finding the Third Proportional to 164,369.25 and 222,739.88

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Solution

The third proportional to 164,369.25 and 222,739.88 is: 301,839.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,369.25 : 222,739.88 = 222,739.88 : x
  2. Step 2: Convert to fraction form
    164,369.25/222,739.88 = 222,739.88/x
  3. Step 3: Cross multiply
    164,369.25x = 222,739.88 × 222,739.88
  4. Step 4: Simplify right side
    164,369.25x = 49,613,051,915.02
  5. Step 5: Solve for x
    x = 49,613,051,915.02/164,369.25
  6. Step 6: Final answer
    x = 301,839.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.