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Finding the Third Proportional to 169,382.25 and 254,097

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Solution

The third proportional to 169,382.25 and 254,097 is: 381,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,382.25 : 254,097 = 254,097 : x
  2. Step 2: Convert to fraction form
    169,382.25/254,097 = 254,097/x
  3. Step 3: Cross multiply
    169,382.25x = 254,097 × 254,097
  4. Step 4: Simplify right side
    169,382.25x = 64,565,285,409
  5. Step 5: Solve for x
    x = 64,565,285,409/169,382.25
  6. Step 6: Final answer
    x = 381,180.94

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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.