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Finding the Third Proportional to 226,860 and 333,729

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Solution

The third proportional to 226,860 and 333,729 is: 490,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,860 : 333,729 = 333,729 : x
  2. Step 2: Convert to fraction form
    226,860/333,729 = 333,729/x
  3. Step 3: Cross multiply
    226,860x = 333,729 × 333,729
  4. Step 4: Simplify right side
    226,860x = 111,375,045,441
  5. Step 5: Solve for x
    x = 111,375,045,441/226,860
  6. Step 6: Final answer
    x = 490,941.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.