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Finding the Third Proportional to 197,202.50 and 431,721

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Solution

The third proportional to 197,202.50 and 431,721 is: 945,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,202.50 : 431,721 = 431,721 : x
  2. Step 2: Convert to fraction form
    197,202.50/431,721 = 431,721/x
  3. Step 3: Cross multiply
    197,202.50x = 431,721 × 431,721
  4. Step 4: Simplify right side
    197,202.50x = 186,383,021,841
  5. Step 5: Solve for x
    x = 186,383,021,841/197,202.50
  6. Step 6: Final answer
    x = 945,135.19

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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.