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Finding the Third Proportional to 175,638.38 and 383,099.63

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Solution

The third proportional to 175,638.38 and 383,099.63 is: 835,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,638.38 : 383,099.63 = 383,099.63 : x
  2. Step 2: Convert to fraction form
    175,638.38/383,099.63 = 383,099.63/x
  3. Step 3: Cross multiply
    175,638.38x = 383,099.63 × 383,099.63
  4. Step 4: Simplify right side
    175,638.38x = 146,765,322,675.14
  5. Step 5: Solve for x
    x = 146,765,322,675.14/175,638.38
  6. Step 6: Final answer
    x = 835,610.80

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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.