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Finding the Third Proportional to 162,233 and 217,009

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Solution

The third proportional to 162,233 and 217,009 is: 290,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,233 : 217,009 = 217,009 : x
  2. Step 2: Convert to fraction form
    162,233/217,009 = 217,009/x
  3. Step 3: Cross multiply
    162,233x = 217,009 × 217,009
  4. Step 4: Simplify right side
    162,233x = 47,092,906,081
  5. Step 5: Solve for x
    x = 47,092,906,081/162,233
  6. Step 6: Final answer
    x = 290,279.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.