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Finding the Third Proportional to 227,103.75 and 352,647

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Solution

The third proportional to 227,103.75 and 352,647 is: 547,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,103.75 : 352,647 = 352,647 : x
  2. Step 2: Convert to fraction form
    227,103.75/352,647 = 352,647/x
  3. Step 3: Cross multiply
    227,103.75x = 352,647 × 352,647
  4. Step 4: Simplify right side
    227,103.75x = 124,359,906,609
  5. Step 5: Solve for x
    x = 124,359,906,609/227,103.75
  6. Step 6: Final answer
    x = 547,590.72

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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.