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Finding the Third Proportional to 163,048 and 214,408

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Solution

The third proportional to 163,048 and 214,408 is: 281,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,048 : 214,408 = 214,408 : x
  2. Step 2: Convert to fraction form
    163,048/214,408 = 214,408/x
  3. Step 3: Cross multiply
    163,048x = 214,408 × 214,408
  4. Step 4: Simplify right side
    163,048x = 45,970,790,464
  5. Step 5: Solve for x
    x = 45,970,790,464/163,048
  6. Step 6: Final answer
    x = 281,946.36

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.