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Finding the Third Proportional to 115,095 and 246,177

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Solution

The third proportional to 115,095 and 246,177 is: 526,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,095 : 246,177 = 246,177 : x
  2. Step 2: Convert to fraction form
    115,095/246,177 = 246,177/x
  3. Step 3: Cross multiply
    115,095x = 246,177 × 246,177
  4. Step 4: Simplify right side
    115,095x = 60,603,115,329
  5. Step 5: Solve for x
    x = 60,603,115,329/115,095
  6. Step 6: Final answer
    x = 526,548.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.