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Finding the Third Proportional to 176,584.50 and 270,060.75

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Solution

The third proportional to 176,584.50 and 270,060.75 is: 413,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,584.50 : 270,060.75 = 270,060.75 : x
  2. Step 2: Convert to fraction form
    176,584.50/270,060.75 = 270,060.75/x
  3. Step 3: Cross multiply
    176,584.50x = 270,060.75 × 270,060.75
  4. Step 4: Simplify right side
    176,584.50x = 72,932,808,690.56
  5. Step 5: Solve for x
    x = 72,932,808,690.56/176,584.50
  6. Step 6: Final answer
    x = 413,019.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.