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Finding the Third Proportional to 135,430.31 and 181,183.50

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Solution

The third proportional to 135,430.31 and 181,183.50 is: 242,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,430.31 : 181,183.50 = 181,183.50 : x
  2. Step 2: Convert to fraction form
    135,430.31/181,183.50 = 181,183.50/x
  3. Step 3: Cross multiply
    135,430.31x = 181,183.50 × 181,183.50
  4. Step 4: Simplify right side
    135,430.31x = 32,827,460,672.25
  5. Step 5: Solve for x
    x = 32,827,460,672.25/135,430.31
  6. Step 6: Final answer
    x = 242,393.75

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.