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Finding the Third Proportional to 166,104 and 354,354

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Solution

The third proportional to 166,104 and 354,354 is: 755,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,104 : 354,354 = 354,354 : x
  2. Step 2: Convert to fraction form
    166,104/354,354 = 354,354/x
  3. Step 3: Cross multiply
    166,104x = 354,354 × 354,354
  4. Step 4: Simplify right side
    166,104x = 125,566,757,316
  5. Step 5: Solve for x
    x = 125,566,757,316/166,104
  6. Step 6: Final answer
    x = 755,952.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.