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Finding the Third Proportional to 182,771.44 and 272,635.88

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Solution

The third proportional to 182,771.44 and 272,635.88 is: 406,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,771.44 : 272,635.88 = 272,635.88 : x
  2. Step 2: Convert to fraction form
    182,771.44/272,635.88 = 272,635.88/x
  3. Step 3: Cross multiply
    182,771.44x = 272,635.88 × 272,635.88
  4. Step 4: Simplify right side
    182,771.44x = 74,330,320,337.02
  5. Step 5: Solve for x
    x = 74,330,320,337.02/182,771.44
  6. Step 6: Final answer
    x = 406,684.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.