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Finding the Third Proportional to 162,232 and 349,413.25

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Solution

The third proportional to 162,232 and 349,413.25 is: 752,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,232 : 349,413.25 = 349,413.25 : x
  2. Step 2: Convert to fraction form
    162,232/349,413.25 = 349,413.25/x
  3. Step 3: Cross multiply
    162,232x = 349,413.25 × 349,413.25
  4. Step 4: Simplify right side
    162,232x = 122,089,619,275.56
  5. Step 5: Solve for x
    x = 122,089,619,275.56/162,232
  6. Step 6: Final answer
    x = 752,561.88

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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.