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Finding the Third Proportional to 271,919.25 and 382,242.38

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Solution

The third proportional to 271,919.25 and 382,242.38 is: 537,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,919.25 : 382,242.38 = 382,242.38 : x
  2. Step 2: Convert to fraction form
    271,919.25/382,242.38 = 382,242.38/x
  3. Step 3: Cross multiply
    271,919.25x = 382,242.38 × 382,242.38
  4. Step 4: Simplify right side
    271,919.25x = 146,109,233,245.64
  5. Step 5: Solve for x
    x = 146,109,233,245.64/271,919.25
  6. Step 6: Final answer
    x = 537,325.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.