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Finding the Third Proportional to 206,878 and 295,291

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Solution

The third proportional to 206,878 and 295,291 is: 421,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,878 : 295,291 = 295,291 : x
  2. Step 2: Convert to fraction form
    206,878/295,291 = 295,291/x
  3. Step 3: Cross multiply
    206,878x = 295,291 × 295,291
  4. Step 4: Simplify right side
    206,878x = 87,196,774,681
  5. Step 5: Solve for x
    x = 87,196,774,681/206,878
  6. Step 6: Final answer
    x = 421,488.87

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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.