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Finding the Third Proportional to 115,047.56 and 248,469.75

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Solution

The third proportional to 115,047.56 and 248,469.75 is: 536,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,047.56 : 248,469.75 = 248,469.75 : x
  2. Step 2: Convert to fraction form
    115,047.56/248,469.75 = 248,469.75/x
  3. Step 3: Cross multiply
    115,047.56x = 248,469.75 × 248,469.75
  4. Step 4: Simplify right side
    115,047.56x = 61,737,216,665.06
  5. Step 5: Solve for x
    x = 61,737,216,665.06/115,047.56
  6. Step 6: Final answer
    x = 536,623.42

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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.