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Finding the Third Proportional to 134,460 and 188,466.75

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Solution

The third proportional to 134,460 and 188,466.75 is: 264,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,460 : 188,466.75 = 188,466.75 : x
  2. Step 2: Convert to fraction form
    134,460/188,466.75 = 188,466.75/x
  3. Step 3: Cross multiply
    134,460x = 188,466.75 × 188,466.75
  4. Step 4: Simplify right side
    134,460x = 35,519,715,855.56
  5. Step 5: Solve for x
    x = 35,519,715,855.56/134,460
  6. Step 6: Final answer
    x = 264,165.67

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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.