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Finding the Third Proportional to 142,438.50 and 303,945.33

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Solution

The third proportional to 142,438.50 and 303,945.33 is: 648,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,438.50 : 303,945.33 = 303,945.33 : x
  2. Step 2: Convert to fraction form
    142,438.50/303,945.33 = 303,945.33/x
  3. Step 3: Cross multiply
    142,438.50x = 303,945.33 × 303,945.33
  4. Step 4: Simplify right side
    142,438.50x = 92,382,762,489.01
  5. Step 5: Solve for x
    x = 92,382,762,489.01/142,438.50
  6. Step 6: Final answer
    x = 648,580.00

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.