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Finding the Third Proportional to 141,915.75 and 213,466.50

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Solution

The third proportional to 141,915.75 and 213,466.50 is: 321,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,915.75 : 213,466.50 = 213,466.50 : x
  2. Step 2: Convert to fraction form
    141,915.75/213,466.50 = 213,466.50/x
  3. Step 3: Cross multiply
    141,915.75x = 213,466.50 × 213,466.50
  4. Step 4: Simplify right side
    141,915.75x = 45,567,946,622.25
  5. Step 5: Solve for x
    x = 45,567,946,622.25/141,915.75
  6. Step 6: Final answer
    x = 321,091.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.