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Finding the Third Proportional to 182,852 and 399,880

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Solution

The third proportional to 182,852 and 399,880 is: 874,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,852 : 399,880 = 399,880 : x
  2. Step 2: Convert to fraction form
    182,852/399,880 = 399,880/x
  3. Step 3: Cross multiply
    182,852x = 399,880 × 399,880
  4. Step 4: Simplify right side
    182,852x = 159,904,014,400
  5. Step 5: Solve for x
    x = 159,904,014,400/182,852
  6. Step 6: Final answer
    x = 874,499.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.