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Finding the Third Proportional to 180,969 and 281,794.50

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Solution

The third proportional to 180,969 and 281,794.50 is: 438,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,969 : 281,794.50 = 281,794.50 : x
  2. Step 2: Convert to fraction form
    180,969/281,794.50 = 281,794.50/x
  3. Step 3: Cross multiply
    180,969x = 281,794.50 × 281,794.50
  4. Step 4: Simplify right side
    180,969x = 79,408,140,230.25
  5. Step 5: Solve for x
    x = 79,408,140,230.25/180,969
  6. Step 6: Final answer
    x = 438,794.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.