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Finding the Third Proportional to 145,939.50 and 218,004.75

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Solution

The third proportional to 145,939.50 and 218,004.75 is: 325,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,939.50 : 218,004.75 = 218,004.75 : x
  2. Step 2: Convert to fraction form
    145,939.50/218,004.75 = 218,004.75/x
  3. Step 3: Cross multiply
    145,939.50x = 218,004.75 × 218,004.75
  4. Step 4: Simplify right side
    145,939.50x = 47,526,071,022.56
  5. Step 5: Solve for x
    x = 47,526,071,022.56/145,939.50
  6. Step 6: Final answer
    x = 325,655.98

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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.