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Finding the Third Proportional to 103,825 and 227,306

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Solution

The third proportional to 103,825 and 227,306 is: 497,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,825 : 227,306 = 227,306 : x
  2. Step 2: Convert to fraction form
    103,825/227,306 = 227,306/x
  3. Step 3: Cross multiply
    103,825x = 227,306 × 227,306
  4. Step 4: Simplify right side
    103,825x = 51,668,017,636
  5. Step 5: Solve for x
    x = 51,668,017,636/103,825
  6. Step 6: Final answer
    x = 497,645.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.