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Finding the Third Proportional to 178,524 and 244,797

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Solution

The third proportional to 178,524 and 244,797 is: 335,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,524 : 244,797 = 244,797 : x
  2. Step 2: Convert to fraction form
    178,524/244,797 = 244,797/x
  3. Step 3: Cross multiply
    178,524x = 244,797 × 244,797
  4. Step 4: Simplify right side
    178,524x = 59,925,571,209
  5. Step 5: Solve for x
    x = 59,925,571,209/178,524
  6. Step 6: Final answer
    x = 335,672.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.