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Finding the Third Proportional to 179,059.50 and 384,783.19

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Solution

The third proportional to 179,059.50 and 384,783.19 is: 826,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,059.50 : 384,783.19 = 384,783.19 : x
  2. Step 2: Convert to fraction form
    179,059.50/384,783.19 = 384,783.19/x
  3. Step 3: Cross multiply
    179,059.50x = 384,783.19 × 384,783.19
  4. Step 4: Simplify right side
    179,059.50x = 148,058,101,382.66
  5. Step 5: Solve for x
    x = 148,058,101,382.66/179,059.50
  6. Step 6: Final answer
    x = 826,865.38

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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.