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Finding the Third Proportional to 197,186.50 and 321,954

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Solution

The third proportional to 197,186.50 and 321,954 is: 525,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,186.50 : 321,954 = 321,954 : x
  2. Step 2: Convert to fraction form
    197,186.50/321,954 = 321,954/x
  3. Step 3: Cross multiply
    197,186.50x = 321,954 × 321,954
  4. Step 4: Simplify right side
    197,186.50x = 103,654,378,116
  5. Step 5: Solve for x
    x = 103,654,378,116/197,186.50
  6. Step 6: Final answer
    x = 525,666.71

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.