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Finding the Third Proportional to 140,413.50 and 296,095.50

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Solution

The third proportional to 140,413.50 and 296,095.50 is: 624,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,413.50 : 296,095.50 = 296,095.50 : x
  2. Step 2: Convert to fraction form
    140,413.50/296,095.50 = 296,095.50/x
  3. Step 3: Cross multiply
    140,413.50x = 296,095.50 × 296,095.50
  4. Step 4: Simplify right side
    140,413.50x = 87,672,545,120.25
  5. Step 5: Solve for x
    x = 87,672,545,120.25/140,413.50
  6. Step 6: Final answer
    x = 624,388.29

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.