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Finding the Third Proportional to 169,012.50 and 252,991.50

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Solution

The third proportional to 169,012.50 and 252,991.50 is: 378,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,012.50 : 252,991.50 = 252,991.50 : x
  2. Step 2: Convert to fraction form
    169,012.50/252,991.50 = 252,991.50/x
  3. Step 3: Cross multiply
    169,012.50x = 252,991.50 × 252,991.50
  4. Step 4: Simplify right side
    169,012.50x = 64,004,699,072.25
  5. Step 5: Solve for x
    x = 64,004,699,072.25/169,012.50
  6. Step 6: Final answer
    x = 378,698.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.