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Finding the Third Proportional to 178,180 and 250,638

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Solution

The third proportional to 178,180 and 250,638 is: 352,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,180 : 250,638 = 250,638 : x
  2. Step 2: Convert to fraction form
    178,180/250,638 = 250,638/x
  3. Step 3: Cross multiply
    178,180x = 250,638 × 250,638
  4. Step 4: Simplify right side
    178,180x = 62,819,407,044
  5. Step 5: Solve for x
    x = 62,819,407,044/178,180
  6. Step 6: Final answer
    x = 352,561.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.