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Finding the Third Proportional to 79,464.50 and 168,406

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Solution

The third proportional to 79,464.50 and 168,406 is: 356,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,464.50 : 168,406 = 168,406 : x
  2. Step 2: Convert to fraction form
    79,464.50/168,406 = 168,406/x
  3. Step 3: Cross multiply
    79,464.50x = 168,406 × 168,406
  4. Step 4: Simplify right side
    79,464.50x = 28,360,580,836
  5. Step 5: Solve for x
    x = 28,360,580,836/79,464.50
  6. Step 6: Final answer
    x = 356,896.23

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.