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Finding the Third Proportional to 176,209.75 and 264,704.75

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Solution

The third proportional to 176,209.75 and 264,704.75 is: 397,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,209.75 : 264,704.75 = 264,704.75 : x
  2. Step 2: Convert to fraction form
    176,209.75/264,704.75 = 264,704.75/x
  3. Step 3: Cross multiply
    176,209.75x = 264,704.75 × 264,704.75
  4. Step 4: Simplify right side
    176,209.75x = 70,068,604,672.56
  5. Step 5: Solve for x
    x = 70,068,604,672.56/176,209.75
  6. Step 6: Final answer
    x = 397,643.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.