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Finding the Third Proportional to 209,567.25 and 331,986.09

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Solution

The third proportional to 209,567.25 and 331,986.09 is: 525,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,567.25 : 331,986.09 = 331,986.09 : x
  2. Step 2: Convert to fraction form
    209,567.25/331,986.09 = 331,986.09/x
  3. Step 3: Cross multiply
    209,567.25x = 331,986.09 × 331,986.09
  4. Step 4: Simplify right side
    209,567.25x = 110,214,766,443.38
  5. Step 5: Solve for x
    x = 110,214,766,443.38/209,567.25
  6. Step 6: Final answer
    x = 525,915.98

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.