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Finding the Third Proportional to 140,566 and 205,576.75

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Solution

The third proportional to 140,566 and 205,576.75 is: 300,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,566 : 205,576.75 = 205,576.75 : x
  2. Step 2: Convert to fraction form
    140,566/205,576.75 = 205,576.75/x
  3. Step 3: Cross multiply
    140,566x = 205,576.75 × 205,576.75
  4. Step 4: Simplify right side
    140,566x = 42,261,800,140.56
  5. Step 5: Solve for x
    x = 42,261,800,140.56/140,566
  6. Step 6: Final answer
    x = 300,654.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.