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Finding the Third Proportional to 115,049 and 235,678

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Solution

The third proportional to 115,049 and 235,678 is: 482,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,049 : 235,678 = 235,678 : x
  2. Step 2: Convert to fraction form
    115,049/235,678 = 235,678/x
  3. Step 3: Cross multiply
    115,049x = 235,678 × 235,678
  4. Step 4: Simplify right side
    115,049x = 55,544,119,684
  5. Step 5: Solve for x
    x = 55,544,119,684/115,049
  6. Step 6: Final answer
    x = 482,786.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.