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Finding the Third Proportional to 178,819.50 and 250,612.50

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Solution

The third proportional to 178,819.50 and 250,612.50 is: 351,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,819.50 : 250,612.50 = 250,612.50 : x
  2. Step 2: Convert to fraction form
    178,819.50/250,612.50 = 250,612.50/x
  3. Step 3: Cross multiply
    178,819.50x = 250,612.50 × 250,612.50
  4. Step 4: Simplify right side
    178,819.50x = 62,806,625,156.25
  5. Step 5: Solve for x
    x = 62,806,625,156.25/178,819.50
  6. Step 6: Final answer
    x = 351,229.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.