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Finding the Third Proportional to 248,233.50 and 535,826.25

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Solution

The third proportional to 248,233.50 and 535,826.25 is: 1,156,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,233.50 : 535,826.25 = 535,826.25 : x
  2. Step 2: Convert to fraction form
    248,233.50/535,826.25 = 535,826.25/x
  3. Step 3: Cross multiply
    248,233.50x = 535,826.25 × 535,826.25
  4. Step 4: Simplify right side
    248,233.50x = 287,109,770,189.06
  5. Step 5: Solve for x
    x = 287,109,770,189.06/248,233.50
  6. Step 6: Final answer
    x = 1,156,611.70

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