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Finding the Third Proportional to 188,652.38 and 285,413.63

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Solution

The third proportional to 188,652.38 and 285,413.63 is: 431,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,652.38 : 285,413.63 = 285,413.63 : x
  2. Step 2: Convert to fraction form
    188,652.38/285,413.63 = 285,413.63/x
  3. Step 3: Cross multiply
    188,652.38x = 285,413.63 × 285,413.63
  4. Step 4: Simplify right side
    188,652.38x = 81,460,937,335.64
  5. Step 5: Solve for x
    x = 81,460,937,335.64/188,652.38
  6. Step 6: Final answer
    x = 431,804.46

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Why These Related Problems?

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