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Finding the Third Proportional to 173,858.25 and 380,936.25

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Solution

The third proportional to 173,858.25 and 380,936.25 is: 834,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,858.25 : 380,936.25 = 380,936.25 : x
  2. Step 2: Convert to fraction form
    173,858.25/380,936.25 = 380,936.25/x
  3. Step 3: Cross multiply
    173,858.25x = 380,936.25 × 380,936.25
  4. Step 4: Simplify right side
    173,858.25x = 145,112,426,564.06
  5. Step 5: Solve for x
    x = 145,112,426,564.06/173,858.25
  6. Step 6: Final answer
    x = 834,659.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.