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Finding the Third Proportional to 123,298.50 and 184,947.75

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Solution

The third proportional to 123,298.50 and 184,947.75 is: 277,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,298.50 : 184,947.75 = 184,947.75 : x
  2. Step 2: Convert to fraction form
    123,298.50/184,947.75 = 184,947.75/x
  3. Step 3: Cross multiply
    123,298.50x = 184,947.75 × 184,947.75
  4. Step 4: Simplify right side
    123,298.50x = 34,205,670,230.06
  5. Step 5: Solve for x
    x = 34,205,670,230.06/123,298.50
  6. Step 6: Final answer
    x = 277,421.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.