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Finding the Third Proportional to 184,558.50 and 292,815

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Solution

The third proportional to 184,558.50 and 292,815 is: 464,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,558.50 : 292,815 = 292,815 : x
  2. Step 2: Convert to fraction form
    184,558.50/292,815 = 292,815/x
  3. Step 3: Cross multiply
    184,558.50x = 292,815 × 292,815
  4. Step 4: Simplify right side
    184,558.50x = 85,740,624,225
  5. Step 5: Solve for x
    x = 85,740,624,225/184,558.50
  6. Step 6: Final answer
    x = 464,571.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.