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Finding the Third Proportional to 248,348.25 and 536,383.13

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Solution

The third proportional to 248,348.25 and 536,383.13 is: 1,158,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,348.25 : 536,383.13 = 536,383.13 : x
  2. Step 2: Convert to fraction form
    248,348.25/536,383.13 = 536,383.13/x
  3. Step 3: Cross multiply
    248,348.25x = 536,383.13 × 536,383.13
  4. Step 4: Simplify right side
    248,348.25x = 287,706,856,784.77
  5. Step 5: Solve for x
    x = 287,706,856,784.77/248,348.25
  6. Step 6: Final answer
    x = 1,158,481.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.