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Finding the Third Proportional to 132,824 and 202,692

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Solution

The third proportional to 132,824 and 202,692 is: 309,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,824 : 202,692 = 202,692 : x
  2. Step 2: Convert to fraction form
    132,824/202,692 = 202,692/x
  3. Step 3: Cross multiply
    132,824x = 202,692 × 202,692
  4. Step 4: Simplify right side
    132,824x = 41,084,046,864
  5. Step 5: Solve for x
    x = 41,084,046,864/132,824
  6. Step 6: Final answer
    x = 309,311.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.