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Finding the Third Proportional to 225,860.25 and 301,109.63

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Solution

The third proportional to 225,860.25 and 301,109.63 is: 401,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,860.25 : 301,109.63 = 301,109.63 : x
  2. Step 2: Convert to fraction form
    225,860.25/301,109.63 = 301,109.63/x
  3. Step 3: Cross multiply
    225,860.25x = 301,109.63 × 301,109.63
  4. Step 4: Simplify right side
    225,860.25x = 90,667,006,267.64
  5. Step 5: Solve for x
    x = 90,667,006,267.64/225,860.25
  6. Step 6: Final answer
    x = 401,429.67

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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.