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Finding the Third Proportional to 178,833.94 and 270,073.69

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Solution

The third proportional to 178,833.94 and 270,073.69 is: 407,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,833.94 : 270,073.69 = 270,073.69 : x
  2. Step 2: Convert to fraction form
    178,833.94/270,073.69 = 270,073.69/x
  3. Step 3: Cross multiply
    178,833.94x = 270,073.69 × 270,073.69
  4. Step 4: Simplify right side
    178,833.94x = 72,939,796,679.85
  5. Step 5: Solve for x
    x = 72,939,796,679.85/178,833.94
  6. Step 6: Final answer
    x = 407,863.28

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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.