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Finding the Third Proportional to 166,567 and 237,395

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Solution

The third proportional to 166,567 and 237,395 is: 338,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,567 : 237,395 = 237,395 : x
  2. Step 2: Convert to fraction form
    166,567/237,395 = 237,395/x
  3. Step 3: Cross multiply
    166,567x = 237,395 × 237,395
  4. Step 4: Simplify right side
    166,567x = 56,356,386,025
  5. Step 5: Solve for x
    x = 56,356,386,025/166,567
  6. Step 6: Final answer
    x = 338,340.64

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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.