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Finding the Third Proportional to 79,328 and 163,672

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Solution

The third proportional to 79,328 and 163,672 is: 337,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,328 : 163,672 = 163,672 : x
  2. Step 2: Convert to fraction form
    79,328/163,672 = 163,672/x
  3. Step 3: Cross multiply
    79,328x = 163,672 × 163,672
  4. Step 4: Simplify right side
    79,328x = 26,788,523,584
  5. Step 5: Solve for x
    x = 26,788,523,584/79,328
  6. Step 6: Final answer
    x = 337,693.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.