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Finding the Third Proportional to 197,923.50 and 252,051.75

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Solution

The third proportional to 197,923.50 and 252,051.75 is: 320,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,923.50 : 252,051.75 = 252,051.75 : x
  2. Step 2: Convert to fraction form
    197,923.50/252,051.75 = 252,051.75/x
  3. Step 3: Cross multiply
    197,923.50x = 252,051.75 × 252,051.75
  4. Step 4: Simplify right side
    197,923.50x = 63,530,084,678.06
  5. Step 5: Solve for x
    x = 63,530,084,678.06/197,923.50
  6. Step 6: Final answer
    x = 320,983.03

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.