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Finding the Third Proportional to 82,398 and 177,915

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Solution

The third proportional to 82,398 and 177,915 is: 384,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,398 : 177,915 = 177,915 : x
  2. Step 2: Convert to fraction form
    82,398/177,915 = 177,915/x
  3. Step 3: Cross multiply
    82,398x = 177,915 × 177,915
  4. Step 4: Simplify right side
    82,398x = 31,653,747,225
  5. Step 5: Solve for x
    x = 31,653,747,225/82,398
  6. Step 6: Final answer
    x = 384,156.74

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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.