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Finding the Third Proportional to 169,768.50 and 254,673

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Solution

The third proportional to 169,768.50 and 254,673 is: 382,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,768.50 : 254,673 = 254,673 : x
  2. Step 2: Convert to fraction form
    169,768.50/254,673 = 254,673/x
  3. Step 3: Cross multiply
    169,768.50x = 254,673 × 254,673
  4. Step 4: Simplify right side
    169,768.50x = 64,858,336,929
  5. Step 5: Solve for x
    x = 64,858,336,929/169,768.50
  6. Step 6: Final answer
    x = 382,039.88

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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.