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Finding the Third Proportional to 209,857.50 and 458,131.78

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Solution

The third proportional to 209,857.50 and 458,131.78 is: 1,000,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.50 : 458,131.78 = 458,131.78 : x
  2. Step 2: Convert to fraction form
    209,857.50/458,131.78 = 458,131.78/x
  3. Step 3: Cross multiply
    209,857.50x = 458,131.78 × 458,131.78
  4. Step 4: Simplify right side
    209,857.50x = 209,884,728,991.30
  5. Step 5: Solve for x
    x = 209,884,728,991.30/209,857.50
  6. Step 6: Final answer
    x = 1,000,129.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.