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Finding the Third Proportional to 136,400 and 183,481.50

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Solution

The third proportional to 136,400 and 183,481.50 is: 246,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,400 : 183,481.50 = 183,481.50 : x
  2. Step 2: Convert to fraction form
    136,400/183,481.50 = 183,481.50/x
  3. Step 3: Cross multiply
    136,400x = 183,481.50 × 183,481.50
  4. Step 4: Simplify right side
    136,400x = 33,665,460,842.25
  5. Step 5: Solve for x
    x = 33,665,460,842.25/136,400
  6. Step 6: Final answer
    x = 246,814.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.