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Finding the Third Proportional to 179,858.25 and 263,955.38

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Solution

The third proportional to 179,858.25 and 263,955.38 is: 387,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,858.25 : 263,955.38 = 263,955.38 : x
  2. Step 2: Convert to fraction form
    179,858.25/263,955.38 = 263,955.38/x
  3. Step 3: Cross multiply
    179,858.25x = 263,955.38 × 263,955.38
  4. Step 4: Simplify right side
    179,858.25x = 69,672,439,991.39
  5. Step 5: Solve for x
    x = 69,672,439,991.39/179,858.25
  6. Step 6: Final answer
    x = 387,374.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.