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Finding the Third Proportional to 40,384 and 94,330

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Solution

The third proportional to 40,384 and 94,330 is: 220,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,384 : 94,330 = 94,330 : x
  2. Step 2: Convert to fraction form
    40,384/94,330 = 94,330/x
  3. Step 3: Cross multiply
    40,384x = 94,330 × 94,330
  4. Step 4: Simplify right side
    40,384x = 8,898,148,900
  5. Step 5: Solve for x
    x = 8,898,148,900/40,384
  6. Step 6: Final answer
    x = 220,338.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.