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Finding the Third Proportional to 242,993.25 and 342,036

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Solution

The third proportional to 242,993.25 and 342,036 is: 481,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,993.25 : 342,036 = 342,036 : x
  2. Step 2: Convert to fraction form
    242,993.25/342,036 = 342,036/x
  3. Step 3: Cross multiply
    242,993.25x = 342,036 × 342,036
  4. Step 4: Simplify right side
    242,993.25x = 116,988,625,296
  5. Step 5: Solve for x
    x = 116,988,625,296/242,993.25
  6. Step 6: Final answer
    x = 481,448.05

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.