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Finding the Third Proportional to 105,005 and 246,825.50

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Solution

The third proportional to 105,005 and 246,825.50 is: 580,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,005 : 246,825.50 = 246,825.50 : x
  2. Step 2: Convert to fraction form
    105,005/246,825.50 = 246,825.50/x
  3. Step 3: Cross multiply
    105,005x = 246,825.50 × 246,825.50
  4. Step 4: Simplify right side
    105,005x = 60,922,827,450.25
  5. Step 5: Solve for x
    x = 60,922,827,450.25/105,005
  6. Step 6: Final answer
    x = 580,189.78

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.