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Finding the Third Proportional to 182,561.34 and 395,915.34

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Solution

The third proportional to 182,561.34 and 395,915.34 is: 858,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,561.34 : 395,915.34 = 395,915.34 : x
  2. Step 2: Convert to fraction form
    182,561.34/395,915.34 = 395,915.34/x
  3. Step 3: Cross multiply
    182,561.34x = 395,915.34 × 395,915.34
  4. Step 4: Simplify right side
    182,561.34x = 156,748,959,416.68
  5. Step 5: Solve for x
    x = 156,748,959,416.68/182,561.34
  6. Step 6: Final answer
    x = 858,609.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.