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Finding the Third Proportional to 162,008 and 218,093

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Solution

The third proportional to 162,008 and 218,093 is: 293,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,008 : 218,093 = 218,093 : x
  2. Step 2: Convert to fraction form
    162,008/218,093 = 218,093/x
  3. Step 3: Cross multiply
    162,008x = 218,093 × 218,093
  4. Step 4: Simplify right side
    162,008x = 47,564,556,649
  5. Step 5: Solve for x
    x = 47,564,556,649/162,008
  6. Step 6: Final answer
    x = 293,593.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.