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Finding the Third Proportional to 175,524 and 264,837

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Solution

The third proportional to 175,524 and 264,837 is: 399,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,524 : 264,837 = 264,837 : x
  2. Step 2: Convert to fraction form
    175,524/264,837 = 264,837/x
  3. Step 3: Cross multiply
    175,524x = 264,837 × 264,837
  4. Step 4: Simplify right side
    175,524x = 70,138,636,569
  5. Step 5: Solve for x
    x = 70,138,636,569/175,524
  6. Step 6: Final answer
    x = 399,595.71

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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.