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Finding the Third Proportional to 201,164 and 281,949.50

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Solution

The third proportional to 201,164 and 281,949.50 is: 395,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,164 : 281,949.50 = 281,949.50 : x
  2. Step 2: Convert to fraction form
    201,164/281,949.50 = 281,949.50/x
  3. Step 3: Cross multiply
    201,164x = 281,949.50 × 281,949.50
  4. Step 4: Simplify right side
    201,164x = 79,495,520,550.25
  5. Step 5: Solve for x
    x = 79,495,520,550.25/201,164
  6. Step 6: Final answer
    x = 395,177.67

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.