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Finding the Third Proportional to 177,339.75 and 248,843.25

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Solution

The third proportional to 177,339.75 and 248,843.25 is: 349,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,339.75 : 248,843.25 = 248,843.25 : x
  2. Step 2: Convert to fraction form
    177,339.75/248,843.25 = 248,843.25/x
  3. Step 3: Cross multiply
    177,339.75x = 248,843.25 × 248,843.25
  4. Step 4: Simplify right side
    177,339.75x = 61,922,963,070.56
  5. Step 5: Solve for x
    x = 61,922,963,070.56/177,339.75
  6. Step 6: Final answer
    x = 349,177.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.