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Finding the Third Proportional to 180,634 and 281,293

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Solution

The third proportional to 180,634 and 281,293 is: 438,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,634 : 281,293 = 281,293 : x
  2. Step 2: Convert to fraction form
    180,634/281,293 = 281,293/x
  3. Step 3: Cross multiply
    180,634x = 281,293 × 281,293
  4. Step 4: Simplify right side
    180,634x = 79,125,751,849
  5. Step 5: Solve for x
    x = 79,125,751,849/180,634
  6. Step 6: Final answer
    x = 438,044.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.