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Finding the Third Proportional to 116,462 and 248,176

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Solution

The third proportional to 116,462 and 248,176 is: 528,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,462 : 248,176 = 248,176 : x
  2. Step 2: Convert to fraction form
    116,462/248,176 = 248,176/x
  3. Step 3: Cross multiply
    116,462x = 248,176 × 248,176
  4. Step 4: Simplify right side
    116,462x = 61,591,326,976
  5. Step 5: Solve for x
    x = 61,591,326,976/116,462
  6. Step 6: Final answer
    x = 528,853.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.