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Finding the Third Proportional to 188,252 and 367,044

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Solution

The third proportional to 188,252 and 367,044 is: 715,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,252 : 367,044 = 367,044 : x
  2. Step 2: Convert to fraction form
    188,252/367,044 = 367,044/x
  3. Step 3: Cross multiply
    188,252x = 367,044 × 367,044
  4. Step 4: Simplify right side
    188,252x = 134,721,297,936
  5. Step 5: Solve for x
    x = 134,721,297,936/188,252
  6. Step 6: Final answer
    x = 715,643.38

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