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Finding the Third Proportional to 133,818 and 183,495.50

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Solution

The third proportional to 133,818 and 183,495.50 is: 251,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,818 : 183,495.50 = 183,495.50 : x
  2. Step 2: Convert to fraction form
    133,818/183,495.50 = 183,495.50/x
  3. Step 3: Cross multiply
    133,818x = 183,495.50 × 183,495.50
  4. Step 4: Simplify right side
    133,818x = 33,670,598,520.25
  5. Step 5: Solve for x
    x = 33,670,598,520.25/133,818
  6. Step 6: Final answer
    x = 251,614.87

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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.