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Finding the Third Proportional to 188,272 and 407,134

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Solution

The third proportional to 188,272 and 407,134 is: 880,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,272 : 407,134 = 407,134 : x
  2. Step 2: Convert to fraction form
    188,272/407,134 = 407,134/x
  3. Step 3: Cross multiply
    188,272x = 407,134 × 407,134
  4. Step 4: Simplify right side
    188,272x = 165,758,093,956
  5. Step 5: Solve for x
    x = 165,758,093,956/188,272
  6. Step 6: Final answer
    x = 880,418.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.