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Finding the Third Proportional to 194,181.75 and 262,352.25

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Solution

The third proportional to 194,181.75 and 262,352.25 is: 354,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,181.75 : 262,352.25 = 262,352.25 : x
  2. Step 2: Convert to fraction form
    194,181.75/262,352.25 = 262,352.25/x
  3. Step 3: Cross multiply
    194,181.75x = 262,352.25 × 262,352.25
  4. Step 4: Simplify right side
    194,181.75x = 68,828,703,080.06
  5. Step 5: Solve for x
    x = 68,828,703,080.06/194,181.75
  6. Step 6: Final answer
    x = 354,455.06

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.