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Finding the Third Proportional to 105,220.50 and 225,243.75

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Solution

The third proportional to 105,220.50 and 225,243.75 is: 482,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,220.50 : 225,243.75 = 225,243.75 : x
  2. Step 2: Convert to fraction form
    105,220.50/225,243.75 = 225,243.75/x
  3. Step 3: Cross multiply
    105,220.50x = 225,243.75 × 225,243.75
  4. Step 4: Simplify right side
    105,220.50x = 50,734,746,914.06
  5. Step 5: Solve for x
    x = 50,734,746,914.06/105,220.50
  6. Step 6: Final answer
    x = 482,175.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.