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Finding the Third Proportional to 177,444 and 282,194

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Solution

The third proportional to 177,444 and 282,194 is: 448,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,444 : 282,194 = 282,194 : x
  2. Step 2: Convert to fraction form
    177,444/282,194 = 282,194/x
  3. Step 3: Cross multiply
    177,444x = 282,194 × 282,194
  4. Step 4: Simplify right side
    177,444x = 79,633,453,636
  5. Step 5: Solve for x
    x = 79,633,453,636/177,444
  6. Step 6: Final answer
    x = 448,780.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.