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Finding the Third Proportional to 166,589.25 and 237,423

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Solution

The third proportional to 166,589.25 and 237,423 is: 338,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,589.25 : 237,423 = 237,423 : x
  2. Step 2: Convert to fraction form
    166,589.25/237,423 = 237,423/x
  3. Step 3: Cross multiply
    166,589.25x = 237,423 × 237,423
  4. Step 4: Simplify right side
    166,589.25x = 56,369,680,929
  5. Step 5: Solve for x
    x = 56,369,680,929/166,589.25
  6. Step 6: Final answer
    x = 338,375.26

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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.