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Finding the Third Proportional to 217,952 and 333,266

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Solution

The third proportional to 217,952 and 333,266 is: 509,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,952 : 333,266 = 333,266 : x
  2. Step 2: Convert to fraction form
    217,952/333,266 = 333,266/x
  3. Step 3: Cross multiply
    217,952x = 333,266 × 333,266
  4. Step 4: Simplify right side
    217,952x = 111,066,226,756
  5. Step 5: Solve for x
    x = 111,066,226,756/217,952
  6. Step 6: Final answer
    x = 509,590.31

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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.