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Finding the Third Proportional to 166,586.63 and 237,419.25

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Solution

The third proportional to 166,586.63 and 237,419.25 is: 338,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,586.63 : 237,419.25 = 237,419.25 : x
  2. Step 2: Convert to fraction form
    166,586.63/237,419.25 = 237,419.25/x
  3. Step 3: Cross multiply
    166,586.63x = 237,419.25 × 237,419.25
  4. Step 4: Simplify right side
    166,586.63x = 56,367,900,270.56
  5. Step 5: Solve for x
    x = 56,367,900,270.56/166,586.63
  6. Step 6: Final answer
    x = 338,369.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.