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Finding the Third Proportional to 82,348 and 179,755

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Solution

The third proportional to 82,348 and 179,755 is: 392,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,348 : 179,755 = 179,755 : x
  2. Step 2: Convert to fraction form
    82,348/179,755 = 179,755/x
  3. Step 3: Cross multiply
    82,348x = 179,755 × 179,755
  4. Step 4: Simplify right side
    82,348x = 32,311,860,025
  5. Step 5: Solve for x
    x = 32,311,860,025/82,348
  6. Step 6: Final answer
    x = 392,381.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.