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Finding the Third Proportional to 178,819.50 and 270,052.50

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Solution

The third proportional to 178,819.50 and 270,052.50 is: 407,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,819.50 : 270,052.50 = 270,052.50 : x
  2. Step 2: Convert to fraction form
    178,819.50/270,052.50 = 270,052.50/x
  3. Step 3: Cross multiply
    178,819.50x = 270,052.50 × 270,052.50
  4. Step 4: Simplify right side
    178,819.50x = 72,928,352,756.25
  5. Step 5: Solve for x
    x = 72,928,352,756.25/178,819.50
  6. Step 6: Final answer
    x = 407,832.21

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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.