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Finding the Third Proportional to 180,638.23 and 389,024.02

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Solution

The third proportional to 180,638.23 and 389,024.02 is: 837,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,638.23 : 389,024.02 = 389,024.02 : x
  2. Step 2: Convert to fraction form
    180,638.23/389,024.02 = 389,024.02/x
  3. Step 3: Cross multiply
    180,638.23x = 389,024.02 × 389,024.02
  4. Step 4: Simplify right side
    180,638.23x = 151,339,684,733.00
  5. Step 5: Solve for x
    x = 151,339,684,733.00/180,638.23
  6. Step 6: Final answer
    x = 837,805.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.