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Finding the Third Proportional to 177,194 and 378,975.50

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Solution

The third proportional to 177,194 and 378,975.50 is: 810,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,194 : 378,975.50 = 378,975.50 : x
  2. Step 2: Convert to fraction form
    177,194/378,975.50 = 378,975.50/x
  3. Step 3: Cross multiply
    177,194x = 378,975.50 × 378,975.50
  4. Step 4: Simplify right side
    177,194x = 143,622,429,600.25
  5. Step 5: Solve for x
    x = 143,622,429,600.25/177,194
  6. Step 6: Final answer
    x = 810,537.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.