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Finding the Third Proportional to 115,078 and 246,147

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Solution

The third proportional to 115,078 and 246,147 is: 526,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,078 : 246,147 = 246,147 : x
  2. Step 2: Convert to fraction form
    115,078/246,147 = 246,147/x
  3. Step 3: Cross multiply
    115,078x = 246,147 × 246,147
  4. Step 4: Simplify right side
    115,078x = 60,588,345,609
  5. Step 5: Solve for x
    x = 60,588,345,609/115,078
  6. Step 6: Final answer
    x = 526,498.08

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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.