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Finding the Third Proportional to 105,448.50 and 248,914.50

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Solution

The third proportional to 105,448.50 and 248,914.50 is: 587,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,448.50 : 248,914.50 = 248,914.50 : x
  2. Step 2: Convert to fraction form
    105,448.50/248,914.50 = 248,914.50/x
  3. Step 3: Cross multiply
    105,448.50x = 248,914.50 × 248,914.50
  4. Step 4: Simplify right side
    105,448.50x = 61,958,428,310.25
  5. Step 5: Solve for x
    x = 61,958,428,310.25/105,448.50
  6. Step 6: Final answer
    x = 587,570.50

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.