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Finding the Third Proportional to 217,926 and 333,225

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Solution

The third proportional to 217,926 and 333,225 is: 509,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,926 : 333,225 = 333,225 : x
  2. Step 2: Convert to fraction form
    217,926/333,225 = 333,225/x
  3. Step 3: Cross multiply
    217,926x = 333,225 × 333,225
  4. Step 4: Simplify right side
    217,926x = 111,038,900,625
  5. Step 5: Solve for x
    x = 111,038,900,625/217,926
  6. Step 6: Final answer
    x = 509,525.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.