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Finding the Third Proportional to 181,841 and 397,540

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Solution

The third proportional to 181,841 and 397,540 is: 869,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,841 : 397,540 = 397,540 : x
  2. Step 2: Convert to fraction form
    181,841/397,540 = 397,540/x
  3. Step 3: Cross multiply
    181,841x = 397,540 × 397,540
  4. Step 4: Simplify right side
    181,841x = 158,038,051,600
  5. Step 5: Solve for x
    x = 158,038,051,600/181,841
  6. Step 6: Final answer
    x = 869,100.21

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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.