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Finding the Third Proportional to 242,904 and 367,744

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Solution

The third proportional to 242,904 and 367,744 is: 556,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,904 : 367,744 = 367,744 : x
  2. Step 2: Convert to fraction form
    242,904/367,744 = 367,744/x
  3. Step 3: Cross multiply
    242,904x = 367,744 × 367,744
  4. Step 4: Simplify right side
    242,904x = 135,235,649,536
  5. Step 5: Solve for x
    x = 135,235,649,536/242,904
  6. Step 6: Final answer
    x = 556,745.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.