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Finding the Third Proportional to 166,056 and 264,357

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Solution

The third proportional to 166,056 and 264,357 is: 420,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,056 : 264,357 = 264,357 : x
  2. Step 2: Convert to fraction form
    166,056/264,357 = 264,357/x
  3. Step 3: Cross multiply
    166,056x = 264,357 × 264,357
  4. Step 4: Simplify right side
    166,056x = 69,884,623,449
  5. Step 5: Solve for x
    x = 69,884,623,449/166,056
  6. Step 6: Final answer
    x = 420,849.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.