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Finding the Third Proportional to 184,558.50 and 287,766

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Solution

The third proportional to 184,558.50 and 287,766 is: 448,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,558.50 : 287,766 = 287,766 : x
  2. Step 2: Convert to fraction form
    184,558.50/287,766 = 287,766/x
  3. Step 3: Cross multiply
    184,558.50x = 287,766 × 287,766
  4. Step 4: Simplify right side
    184,558.50x = 82,809,270,756
  5. Step 5: Solve for x
    x = 82,809,270,756/184,558.50
  6. Step 6: Final answer
    x = 448,688.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.