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Finding the Third Proportional to 185,097.75 and 279,012.75

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Solution

The third proportional to 185,097.75 and 279,012.75 is: 420,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,097.75 : 279,012.75 = 279,012.75 : x
  2. Step 2: Convert to fraction form
    185,097.75/279,012.75 = 279,012.75/x
  3. Step 3: Cross multiply
    185,097.75x = 279,012.75 × 279,012.75
  4. Step 4: Simplify right side
    185,097.75x = 77,848,114,662.56
  5. Step 5: Solve for x
    x = 77,848,114,662.56/185,097.75
  6. Step 6: Final answer
    x = 420,578.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.