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Finding the Third Proportional to 166,055 and 264,356

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Solution

The third proportional to 166,055 and 264,356 is: 420,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,055 : 264,356 = 264,356 : x
  2. Step 2: Convert to fraction form
    166,055/264,356 = 264,356/x
  3. Step 3: Cross multiply
    166,055x = 264,356 × 264,356
  4. Step 4: Simplify right side
    166,055x = 69,884,094,736
  5. Step 5: Solve for x
    x = 69,884,094,736/166,055
  6. Step 6: Final answer
    x = 420,849.08

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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.