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Finding the Third Proportional to 106,234.50 and 244,653

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Solution

The third proportional to 106,234.50 and 244,653 is: 563,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,234.50 : 244,653 = 244,653 : x
  2. Step 2: Convert to fraction form
    106,234.50/244,653 = 244,653/x
  3. Step 3: Cross multiply
    106,234.50x = 244,653 × 244,653
  4. Step 4: Simplify right side
    106,234.50x = 59,855,090,409
  5. Step 5: Solve for x
    x = 59,855,090,409/106,234.50
  6. Step 6: Final answer
    x = 563,424.22

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.