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Finding the Third Proportional to 79,848 and 170,408.50

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Solution

The third proportional to 79,848 and 170,408.50 is: 363,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,848 : 170,408.50 = 170,408.50 : x
  2. Step 2: Convert to fraction form
    79,848/170,408.50 = 170,408.50/x
  3. Step 3: Cross multiply
    79,848x = 170,408.50 × 170,408.50
  4. Step 4: Simplify right side
    79,848x = 29,039,056,872.25
  5. Step 5: Solve for x
    x = 29,039,056,872.25/79,848
  6. Step 6: Final answer
    x = 363,679.20

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.