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Finding the Third Proportional to 182,705.63 and 273,132

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Solution

The third proportional to 182,705.63 and 273,132 is: 408,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,705.63 : 273,132 = 273,132 : x
  2. Step 2: Convert to fraction form
    182,705.63/273,132 = 273,132/x
  3. Step 3: Cross multiply
    182,705.63x = 273,132 × 273,132
  4. Step 4: Simplify right side
    182,705.63x = 74,601,089,424
  5. Step 5: Solve for x
    x = 74,601,089,424/182,705.63
  6. Step 6: Final answer
    x = 408,313.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.