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Finding the Third Proportional to 177,266.25 and 281,883.38

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Solution

The third proportional to 177,266.25 and 281,883.38 is: 448,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,266.25 : 281,883.38 = 281,883.38 : x
  2. Step 2: Convert to fraction form
    177,266.25/281,883.38 = 281,883.38/x
  3. Step 3: Cross multiply
    177,266.25x = 281,883.38 × 281,883.38
  4. Step 4: Simplify right side
    177,266.25x = 79,458,237,101.39
  5. Step 5: Solve for x
    x = 79,458,237,101.39/177,266.25
  6. Step 6: Final answer
    x = 448,242.33

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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.