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Finding the Third Proportional to 172,213.44 and 271,527.58

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Solution

The third proportional to 172,213.44 and 271,527.58 is: 428,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,213.44 : 271,527.58 = 271,527.58 : x
  2. Step 2: Convert to fraction form
    172,213.44/271,527.58 = 271,527.58/x
  3. Step 3: Cross multiply
    172,213.44x = 271,527.58 × 271,527.58
  4. Step 4: Simplify right side
    172,213.44x = 73,727,228,334.07
  5. Step 5: Solve for x
    x = 73,727,228,334.07/172,213.44
  6. Step 6: Final answer
    x = 428,115.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.