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Finding the Third Proportional to 206,176 and 439,352

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Solution

The third proportional to 206,176 and 439,352 is: 936,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,176 : 439,352 = 439,352 : x
  2. Step 2: Convert to fraction form
    206,176/439,352 = 439,352/x
  3. Step 3: Cross multiply
    206,176x = 439,352 × 439,352
  4. Step 4: Simplify right side
    206,176x = 193,030,179,904
  5. Step 5: Solve for x
    x = 193,030,179,904/206,176
  6. Step 6: Final answer
    x = 936,239.81

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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.