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Finding the Third Proportional to 209,400 and 333,525

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Solution

The third proportional to 209,400 and 333,525 is: 531,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,400 : 333,525 = 333,525 : x
  2. Step 2: Convert to fraction form
    209,400/333,525 = 333,525/x
  3. Step 3: Cross multiply
    209,400x = 333,525 × 333,525
  4. Step 4: Simplify right side
    209,400x = 111,238,925,625
  5. Step 5: Solve for x
    x = 111,238,925,625/209,400
  6. Step 6: Final answer
    x = 531,226.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.