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Finding the Third Proportional to 119,636.44 and 262,858.50

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Solution

The third proportional to 119,636.44 and 262,858.50 is: 577,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,636.44 : 262,858.50 = 262,858.50 : x
  2. Step 2: Convert to fraction form
    119,636.44/262,858.50 = 262,858.50/x
  3. Step 3: Cross multiply
    119,636.44x = 262,858.50 × 262,858.50
  4. Step 4: Simplify right side
    119,636.44x = 69,094,591,022.25
  5. Step 5: Solve for x
    x = 69,094,591,022.25/119,636.44
  6. Step 6: Final answer
    x = 577,538.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.