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Finding the Third Proportional to 175,729.75 and 272,342.75

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Solution

The third proportional to 175,729.75 and 272,342.75 is: 422,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,729.75 : 272,342.75 = 272,342.75 : x
  2. Step 2: Convert to fraction form
    175,729.75/272,342.75 = 272,342.75/x
  3. Step 3: Cross multiply
    175,729.75x = 272,342.75 × 272,342.75
  4. Step 4: Simplify right side
    175,729.75x = 74,170,573,477.56
  5. Step 5: Solve for x
    x = 74,170,573,477.56/175,729.75
  6. Step 6: Final answer
    x = 422,071.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.