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Finding the Third Proportional to 225,862 and 301,112

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Solution

The third proportional to 225,862 and 301,112 is: 401,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,862 : 301,112 = 301,112 : x
  2. Step 2: Convert to fraction form
    225,862/301,112 = 301,112/x
  3. Step 3: Cross multiply
    225,862x = 301,112 × 301,112
  4. Step 4: Simplify right side
    225,862x = 90,668,436,544
  5. Step 5: Solve for x
    x = 90,668,436,544/225,862
  6. Step 6: Final answer
    x = 401,432.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.