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Finding the Third Proportional to 217,832 and 333,156

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Solution

The third proportional to 217,832 and 333,156 is: 509,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,832 : 333,156 = 333,156 : x
  2. Step 2: Convert to fraction form
    217,832/333,156 = 333,156/x
  3. Step 3: Cross multiply
    217,832x = 333,156 × 333,156
  4. Step 4: Simplify right side
    217,832x = 110,992,920,336
  5. Step 5: Solve for x
    x = 110,992,920,336/217,832
  6. Step 6: Final answer
    x = 509,534.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.