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Finding the Third Proportional to 175,536 and 264,849

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Solution

The third proportional to 175,536 and 264,849 is: 399,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,536 : 264,849 = 264,849 : x
  2. Step 2: Convert to fraction form
    175,536/264,849 = 264,849/x
  3. Step 3: Cross multiply
    175,536x = 264,849 × 264,849
  4. Step 4: Simplify right side
    175,536x = 70,144,992,801
  5. Step 5: Solve for x
    x = 70,144,992,801/175,536
  6. Step 6: Final answer
    x = 399,604.60

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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.