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Finding the Third Proportional to 171,769.75 and 366,362.50

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Solution

The third proportional to 171,769.75 and 366,362.50 is: 781,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,769.75 : 366,362.50 = 366,362.50 : x
  2. Step 2: Convert to fraction form
    171,769.75/366,362.50 = 366,362.50/x
  3. Step 3: Cross multiply
    171,769.75x = 366,362.50 × 366,362.50
  4. Step 4: Simplify right side
    171,769.75x = 134,221,481,406.25
  5. Step 5: Solve for x
    x = 134,221,481,406.25/171,769.75
  6. Step 6: Final answer
    x = 781,403.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.