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Finding the Third Proportional to 217,914 and 333,207

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Solution

The third proportional to 217,914 and 333,207 is: 509,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,914 : 333,207 = 333,207 : x
  2. Step 2: Convert to fraction form
    217,914/333,207 = 333,207/x
  3. Step 3: Cross multiply
    217,914x = 333,207 × 333,207
  4. Step 4: Simplify right side
    217,914x = 111,026,904,849
  5. Step 5: Solve for x
    x = 111,026,904,849/217,914
  6. Step 6: Final answer
    x = 509,498.72

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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.