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Finding the Third Proportional to 188,243 and 367,028.50

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Solution

The third proportional to 188,243 and 367,028.50 is: 715,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,243 : 367,028.50 = 367,028.50 : x
  2. Step 2: Convert to fraction form
    188,243/367,028.50 = 367,028.50/x
  3. Step 3: Cross multiply
    188,243x = 367,028.50 × 367,028.50
  4. Step 4: Simplify right side
    188,243x = 134,709,919,812.25
  5. Step 5: Solve for x
    x = 134,709,919,812.25/188,243
  6. Step 6: Final answer
    x = 715,617.15

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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.