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Finding the Third Proportional to 183,919.75 and 410,896.50

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Solution

The third proportional to 183,919.75 and 410,896.50 is: 917,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,919.75 : 410,896.50 = 410,896.50 : x
  2. Step 2: Convert to fraction form
    183,919.75/410,896.50 = 410,896.50/x
  3. Step 3: Cross multiply
    183,919.75x = 410,896.50 × 410,896.50
  4. Step 4: Simplify right side
    183,919.75x = 168,835,933,712.25
  5. Step 5: Solve for x
    x = 168,835,933,712.25/183,919.75
  6. Step 6: Final answer
    x = 917,986.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.