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Finding the Third Proportional to 159,015 and 247,162.50

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Solution

The third proportional to 159,015 and 247,162.50 is: 384,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,015 : 247,162.50 = 247,162.50 : x
  2. Step 2: Convert to fraction form
    159,015/247,162.50 = 247,162.50/x
  3. Step 3: Cross multiply
    159,015x = 247,162.50 × 247,162.50
  4. Step 4: Simplify right side
    159,015x = 61,089,301,406.25
  5. Step 5: Solve for x
    x = 61,089,301,406.25/159,015
  6. Step 6: Final answer
    x = 384,173.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.