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Finding the Third Proportional to 193,336 and 272,264

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Solution

The third proportional to 193,336 and 272,264 is: 383,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,336 : 272,264 = 272,264 : x
  2. Step 2: Convert to fraction form
    193,336/272,264 = 272,264/x
  3. Step 3: Cross multiply
    193,336x = 272,264 × 272,264
  4. Step 4: Simplify right side
    193,336x = 74,127,685,696
  5. Step 5: Solve for x
    x = 74,127,685,696/193,336
  6. Step 6: Final answer
    x = 383,413.78

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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.