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Finding the Third Proportional to 226,920.75 and 301,012.50

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Solution

The third proportional to 226,920.75 and 301,012.50 is: 399,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,920.75 : 301,012.50 = 301,012.50 : x
  2. Step 2: Convert to fraction form
    226,920.75/301,012.50 = 301,012.50/x
  3. Step 3: Cross multiply
    226,920.75x = 301,012.50 × 301,012.50
  4. Step 4: Simplify right side
    226,920.75x = 90,608,525,156.25
  5. Step 5: Solve for x
    x = 90,608,525,156.25/226,920.75
  6. Step 6: Final answer
    x = 399,295.90

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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.