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Finding the Third Proportional to 248,226.75 and 535,812.75

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Solution

The third proportional to 248,226.75 and 535,812.75 is: 1,156,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,226.75 : 535,812.75 = 535,812.75 : x
  2. Step 2: Convert to fraction form
    248,226.75/535,812.75 = 535,812.75/x
  3. Step 3: Cross multiply
    248,226.75x = 535,812.75 × 535,812.75
  4. Step 4: Simplify right side
    248,226.75x = 287,095,303,062.56
  5. Step 5: Solve for x
    x = 287,095,303,062.56/248,226.75
  6. Step 6: Final answer
    x = 1,156,584.87

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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.