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Finding the Third Proportional to 248,433 and 536,208.75

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Solution

The third proportional to 248,433 and 536,208.75 is: 1,157,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,433 : 536,208.75 = 536,208.75 : x
  2. Step 2: Convert to fraction form
    248,433/536,208.75 = 536,208.75/x
  3. Step 3: Cross multiply
    248,433x = 536,208.75 × 536,208.75
  4. Step 4: Simplify right side
    248,433x = 287,519,823,576.56
  5. Step 5: Solve for x
    x = 287,519,823,576.56/248,433
  6. Step 6: Final answer
    x = 1,157,333.46

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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.