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Finding the Third Proportional to 209,568.38 and 331,987.78

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Solution

The third proportional to 209,568.38 and 331,987.78 is: 525,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,568.38 : 331,987.78 = 331,987.78 : x
  2. Step 2: Convert to fraction form
    209,568.38/331,987.78 = 331,987.78/x
  3. Step 3: Cross multiply
    209,568.38x = 331,987.78 × 331,987.78
  4. Step 4: Simplify right side
    209,568.38x = 110,215,886,899.30
  5. Step 5: Solve for x
    x = 110,215,886,899.30/209,568.38
  6. Step 6: Final answer
    x = 525,918.51

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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.