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Finding the Third Proportional to 193,344 and 272,275

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Solution

The third proportional to 193,344 and 272,275 is: 383,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,344 : 272,275 = 272,275 : x
  2. Step 2: Convert to fraction form
    193,344/272,275 = 272,275/x
  3. Step 3: Cross multiply
    193,344x = 272,275 × 272,275
  4. Step 4: Simplify right side
    193,344x = 74,133,675,625
  5. Step 5: Solve for x
    x = 74,133,675,625/193,344
  6. Step 6: Final answer
    x = 383,428.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.