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Finding the Third Proportional to 181,014 and 397,020

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Solution

The third proportional to 181,014 and 397,020 is: 870,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,014 : 397,020 = 397,020 : x
  2. Step 2: Convert to fraction form
    181,014/397,020 = 397,020/x
  3. Step 3: Cross multiply
    181,014x = 397,020 × 397,020
  4. Step 4: Simplify right side
    181,014x = 157,624,880,400
  5. Step 5: Solve for x
    x = 157,624,880,400/181,014
  6. Step 6: Final answer
    x = 870,788.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.