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Finding the Third Proportional to 184,735.13 and 397,096.50

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Solution

The third proportional to 184,735.13 and 397,096.50 is: 853,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,735.13 : 397,096.50 = 397,096.50 : x
  2. Step 2: Convert to fraction form
    184,735.13/397,096.50 = 397,096.50/x
  3. Step 3: Cross multiply
    184,735.13x = 397,096.50 × 397,096.50
  4. Step 4: Simplify right side
    184,735.13x = 157,685,630,312.25
  5. Step 5: Solve for x
    x = 157,685,630,312.25/184,735.13
  6. Step 6: Final answer
    x = 853,576.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.