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Finding the Third Proportional to 205,942.50 and 481,140

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Solution

The third proportional to 205,942.50 and 481,140 is: 1,124,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,942.50 : 481,140 = 481,140 : x
  2. Step 2: Convert to fraction form
    205,942.50/481,140 = 481,140/x
  3. Step 3: Cross multiply
    205,942.50x = 481,140 × 481,140
  4. Step 4: Simplify right side
    205,942.50x = 231,495,699,600
  5. Step 5: Solve for x
    x = 231,495,699,600/205,942.50
  6. Step 6: Final answer
    x = 1,124,079.29

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.