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Finding the Third Proportional to 188,242 and 367,025

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Solution

The third proportional to 188,242 and 367,025 is: 715,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,242 : 367,025 = 367,025 : x
  2. Step 2: Convert to fraction form
    188,242/367,025 = 367,025/x
  3. Step 3: Cross multiply
    188,242x = 367,025 × 367,025
  4. Step 4: Simplify right side
    188,242x = 134,707,350,625
  5. Step 5: Solve for x
    x = 134,707,350,625/188,242
  6. Step 6: Final answer
    x = 715,607.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.