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Finding the Third Proportional to 115,904.25 and 179,369.44

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Solution

The third proportional to 115,904.25 and 179,369.44 is: 277,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,904.25 : 179,369.44 = 179,369.44 : x
  2. Step 2: Convert to fraction form
    115,904.25/179,369.44 = 179,369.44/x
  3. Step 3: Cross multiply
    115,904.25x = 179,369.44 × 179,369.44
  4. Step 4: Simplify right side
    115,904.25x = 32,173,395,109.07
  5. Step 5: Solve for x
    x = 32,173,395,109.07/115,904.25
  6. Step 6: Final answer
    x = 277,585.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.