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Finding the Third Proportional to 105,510.50 and 244,046.50

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Solution

The third proportional to 105,510.50 and 244,046.50 is: 564,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,510.50 : 244,046.50 = 244,046.50 : x
  2. Step 2: Convert to fraction form
    105,510.50/244,046.50 = 244,046.50/x
  3. Step 3: Cross multiply
    105,510.50x = 244,046.50 × 244,046.50
  4. Step 4: Simplify right side
    105,510.50x = 59,558,694,162.25
  5. Step 5: Solve for x
    x = 59,558,694,162.25/105,510.50
  6. Step 6: Final answer
    x = 564,481.20

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.