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Finding the Third Proportional to 132,197 and 201,393

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Solution

The third proportional to 132,197 and 201,393 is: 306,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,197 : 201,393 = 201,393 : x
  2. Step 2: Convert to fraction form
    132,197/201,393 = 201,393/x
  3. Step 3: Cross multiply
    132,197x = 201,393 × 201,393
  4. Step 4: Simplify right side
    132,197x = 40,559,140,449
  5. Step 5: Solve for x
    x = 40,559,140,449/132,197
  6. Step 6: Final answer
    x = 306,808.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.