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Finding the Third Proportional to 166,576.50 and 243,644.63

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Solution

The third proportional to 166,576.50 and 243,644.63 is: 356,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,576.50 : 243,644.63 = 243,644.63 : x
  2. Step 2: Convert to fraction form
    166,576.50/243,644.63 = 243,644.63/x
  3. Step 3: Cross multiply
    166,576.50x = 243,644.63 × 243,644.63
  4. Step 4: Simplify right side
    166,576.50x = 59,362,703,291.39
  5. Step 5: Solve for x
    x = 59,362,703,291.39/166,576.50
  6. Step 6: Final answer
    x = 356,369.02

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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.