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Finding the Third Proportional to 108,110.25 and 248,843.25

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Solution

The third proportional to 108,110.25 and 248,843.25 is: 572,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,110.25 : 248,843.25 = 248,843.25 : x
  2. Step 2: Convert to fraction form
    108,110.25/248,843.25 = 248,843.25/x
  3. Step 3: Cross multiply
    108,110.25x = 248,843.25 × 248,843.25
  4. Step 4: Simplify right side
    108,110.25x = 61,922,963,070.56
  5. Step 5: Solve for x
    x = 61,922,963,070.56/108,110.25
  6. Step 6: Final answer
    x = 572,776.06

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Why These Related Problems?

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