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Finding the Third Proportional to 188,252.86 and 386,526.94

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Solution

The third proportional to 188,252.86 and 386,526.94 is: 793,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,252.86 : 386,526.94 = 386,526.94 : x
  2. Step 2: Convert to fraction form
    188,252.86/386,526.94 = 386,526.94/x
  3. Step 3: Cross multiply
    188,252.86x = 386,526.94 × 386,526.94
  4. Step 4: Simplify right side
    188,252.86x = 149,403,073,413.13
  5. Step 5: Solve for x
    x = 149,403,073,413.13/188,252.86
  6. Step 6: Final answer
    x = 793,629.77

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.