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Finding the Third Proportional to 217,936 and 333,246

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Solution

The third proportional to 217,936 and 333,246 is: 509,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,936 : 333,246 = 333,246 : x
  2. Step 2: Convert to fraction form
    217,936/333,246 = 333,246/x
  3. Step 3: Cross multiply
    217,936x = 333,246 × 333,246
  4. Step 4: Simplify right side
    217,936x = 111,052,896,516
  5. Step 5: Solve for x
    x = 111,052,896,516/217,936
  6. Step 6: Final answer
    x = 509,566.55

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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.