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Finding the Third Proportional to 248,514.75 and 536,280.75

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Solution

The third proportional to 248,514.75 and 536,280.75 is: 1,157,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,514.75 : 536,280.75 = 536,280.75 : x
  2. Step 2: Convert to fraction form
    248,514.75/536,280.75 = 536,280.75/x
  3. Step 3: Cross multiply
    248,514.75x = 536,280.75 × 536,280.75
  4. Step 4: Simplify right side
    248,514.75x = 287,597,042,820.56
  5. Step 5: Solve for x
    x = 287,597,042,820.56/248,514.75
  6. Step 6: Final answer
    x = 1,157,263.47

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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.