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Finding the Third Proportional to 178,108.50 and 363,480.75

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Solution

The third proportional to 178,108.50 and 363,480.75 is: 741,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,108.50 : 363,480.75 = 363,480.75 : x
  2. Step 2: Convert to fraction form
    178,108.50/363,480.75 = 363,480.75/x
  3. Step 3: Cross multiply
    178,108.50x = 363,480.75 × 363,480.75
  4. Step 4: Simplify right side
    178,108.50x = 132,118,255,620.56
  5. Step 5: Solve for x
    x = 132,118,255,620.56/178,108.50
  6. Step 6: Final answer
    x = 741,785.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.