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Finding the Third Proportional to 133,794 and 183,466.50

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Solution

The third proportional to 133,794 and 183,466.50 is: 251,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,794 : 183,466.50 = 183,466.50 : x
  2. Step 2: Convert to fraction form
    133,794/183,466.50 = 183,466.50/x
  3. Step 3: Cross multiply
    133,794x = 183,466.50 × 183,466.50
  4. Step 4: Simplify right side
    133,794x = 33,659,956,622.25
  5. Step 5: Solve for x
    x = 33,659,956,622.25/133,794
  6. Step 6: Final answer
    x = 251,580.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.