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Finding the Third Proportional to 184,948 and 399,380

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Solution

The third proportional to 184,948 and 399,380 is: 862,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,948 : 399,380 = 399,380 : x
  2. Step 2: Convert to fraction form
    184,948/399,380 = 399,380/x
  3. Step 3: Cross multiply
    184,948x = 399,380 × 399,380
  4. Step 4: Simplify right side
    184,948x = 159,504,384,400
  5. Step 5: Solve for x
    x = 159,504,384,400/184,948
  6. Step 6: Final answer
    x = 862,428.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.