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Finding the Third Proportional to 78,296 and 169,348

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Solution

The third proportional to 78,296 and 169,348 is: 366,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,296 : 169,348 = 169,348 : x
  2. Step 2: Convert to fraction form
    78,296/169,348 = 169,348/x
  3. Step 3: Cross multiply
    78,296x = 169,348 × 169,348
  4. Step 4: Simplify right side
    78,296x = 28,678,745,104
  5. Step 5: Solve for x
    x = 28,678,745,104/78,296
  6. Step 6: Final answer
    x = 366,286.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.