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Finding the Third Proportional to 184,475.25 and 403,440.75

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Solution

The third proportional to 184,475.25 and 403,440.75 is: 882,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,475.25 : 403,440.75 = 403,440.75 : x
  2. Step 2: Convert to fraction form
    184,475.25/403,440.75 = 403,440.75/x
  3. Step 3: Cross multiply
    184,475.25x = 403,440.75 × 403,440.75
  4. Step 4: Simplify right side
    184,475.25x = 162,764,438,760.56
  5. Step 5: Solve for x
    x = 162,764,438,760.56/184,475.25
  6. Step 6: Final answer
    x = 882,310.44

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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.