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Finding the Third Proportional to 175,520 and 264,519

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Solution

The third proportional to 175,520 and 264,519 is: 398,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,520 : 264,519 = 264,519 : x
  2. Step 2: Convert to fraction form
    175,520/264,519 = 264,519/x
  3. Step 3: Cross multiply
    175,520x = 264,519 × 264,519
  4. Step 4: Simplify right side
    175,520x = 69,970,301,361
  5. Step 5: Solve for x
    x = 69,970,301,361/175,520
  6. Step 6: Final answer
    x = 398,645.75

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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.