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Finding the Third Proportional to 188,878.50 and 281,193.19

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Solution

The third proportional to 188,878.50 and 281,193.19 is: 418,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,878.50 : 281,193.19 = 281,193.19 : x
  2. Step 2: Convert to fraction form
    188,878.50/281,193.19 = 281,193.19/x
  3. Step 3: Cross multiply
    188,878.50x = 281,193.19 × 281,193.19
  4. Step 4: Simplify right side
    188,878.50x = 79,069,608,696.41
  5. Step 5: Solve for x
    x = 79,069,608,696.41/188,878.50
  6. Step 6: Final answer
    x = 418,626.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.