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Finding the Third Proportional to 217,916 and 333,210

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Solution

The third proportional to 217,916 and 333,210 is: 509,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,916 : 333,210 = 333,210 : x
  2. Step 2: Convert to fraction form
    217,916/333,210 = 333,210/x
  3. Step 3: Cross multiply
    217,916x = 333,210 × 333,210
  4. Step 4: Simplify right side
    217,916x = 111,028,904,100
  5. Step 5: Solve for x
    x = 111,028,904,100/217,916
  6. Step 6: Final answer
    x = 509,503.22

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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.