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Finding the Third Proportional to 175,519 and 264,517

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Solution

The third proportional to 175,519 and 264,517 is: 398,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,519 : 264,517 = 264,517 : x
  2. Step 2: Convert to fraction form
    175,519/264,517 = 264,517/x
  3. Step 3: Cross multiply
    175,519x = 264,517 × 264,517
  4. Step 4: Simplify right side
    175,519x = 69,969,243,289
  5. Step 5: Solve for x
    x = 69,969,243,289/175,519
  6. Step 6: Final answer
    x = 398,641.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.