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Finding the Third Proportional to 167,827 and 234,648

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Solution

The third proportional to 167,827 and 234,648 is: 328,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,827 : 234,648 = 234,648 : x
  2. Step 2: Convert to fraction form
    167,827/234,648 = 234,648/x
  3. Step 3: Cross multiply
    167,827x = 234,648 × 234,648
  4. Step 4: Simplify right side
    167,827x = 55,059,683,904
  5. Step 5: Solve for x
    x = 55,059,683,904/167,827
  6. Step 6: Final answer
    x = 328,074.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.