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Finding the Third Proportional to 115,013 and 248,494

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Solution

The third proportional to 115,013 and 248,494 is: 536,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,013 : 248,494 = 248,494 : x
  2. Step 2: Convert to fraction form
    115,013/248,494 = 248,494/x
  3. Step 3: Cross multiply
    115,013x = 248,494 × 248,494
  4. Step 4: Simplify right side
    115,013x = 61,749,268,036
  5. Step 5: Solve for x
    x = 61,749,268,036/115,013
  6. Step 6: Final answer
    x = 536,889.46

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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.