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Finding the Third Proportional to 181,596.75 and 421,996.50

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Solution

The third proportional to 181,596.75 and 421,996.50 is: 980,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,596.75 : 421,996.50 = 421,996.50 : x
  2. Step 2: Convert to fraction form
    181,596.75/421,996.50 = 421,996.50/x
  3. Step 3: Cross multiply
    181,596.75x = 421,996.50 × 421,996.50
  4. Step 4: Simplify right side
    181,596.75x = 178,081,046,012.25
  5. Step 5: Solve for x
    x = 178,081,046,012.25/181,596.75
  6. Step 6: Final answer
    x = 980,640.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.