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Finding the Third Proportional to 175,114.69 and 262,672.31

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Solution

The third proportional to 175,114.69 and 262,672.31 is: 394,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,114.69 : 262,672.31 = 262,672.31 : x
  2. Step 2: Convert to fraction form
    175,114.69/262,672.31 = 262,672.31/x
  3. Step 3: Cross multiply
    175,114.69x = 262,672.31 × 262,672.31
  4. Step 4: Simplify right side
    175,114.69x = 68,996,743,754.10
  5. Step 5: Solve for x
    x = 68,996,743,754.10/175,114.69
  6. Step 6: Final answer
    x = 394,008.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.