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Finding the Third Proportional to 105,397.50 and 248,796

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Solution

The third proportional to 105,397.50 and 248,796 is: 587,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,397.50 : 248,796 = 248,796 : x
  2. Step 2: Convert to fraction form
    105,397.50/248,796 = 248,796/x
  3. Step 3: Cross multiply
    105,397.50x = 248,796 × 248,796
  4. Step 4: Simplify right side
    105,397.50x = 61,899,449,616
  5. Step 5: Solve for x
    x = 61,899,449,616/105,397.50
  6. Step 6: Final answer
    x = 587,295.24

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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.