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Finding the Third Proportional to 162,228 and 349,413.50

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Solution

The third proportional to 162,228 and 349,413.50 is: 752,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,228 : 349,413.50 = 349,413.50 : x
  2. Step 2: Convert to fraction form
    162,228/349,413.50 = 349,413.50/x
  3. Step 3: Cross multiply
    162,228x = 349,413.50 × 349,413.50
  4. Step 4: Simplify right side
    162,228x = 122,089,793,982.25
  5. Step 5: Solve for x
    x = 122,089,793,982.25/162,228
  6. Step 6: Final answer
    x = 752,581.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.