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Finding the Third Proportional to 173,376 and 326,016

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Solution

The third proportional to 173,376 and 326,016 is: 613,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,376 : 326,016 = 326,016 : x
  2. Step 2: Convert to fraction form
    173,376/326,016 = 326,016/x
  3. Step 3: Cross multiply
    173,376x = 326,016 × 326,016
  4. Step 4: Simplify right side
    173,376x = 106,286,432,256
  5. Step 5: Solve for x
    x = 106,286,432,256/173,376
  6. Step 6: Final answer
    x = 613,040.05

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.