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Finding the Third Proportional to 202,149.42 and 239,055.05

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Solution

The third proportional to 202,149.42 and 239,055.05 is: 282,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,149.42 : 239,055.05 = 239,055.05 : x
  2. Step 2: Convert to fraction form
    202,149.42/239,055.05 = 239,055.05/x
  3. Step 3: Cross multiply
    202,149.42x = 239,055.05 × 239,055.05
  4. Step 4: Simplify right side
    202,149.42x = 57,147,315,436.41
  5. Step 5: Solve for x
    x = 57,147,315,436.41/202,149.42
  6. Step 6: Final answer
    x = 282,698.39

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.