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Finding the Third Proportional to 132,964 and 198,996

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Solution

The third proportional to 132,964 and 198,996 is: 297,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,964 : 198,996 = 198,996 : x
  2. Step 2: Convert to fraction form
    132,964/198,996 = 198,996/x
  3. Step 3: Cross multiply
    132,964x = 198,996 × 198,996
  4. Step 4: Simplify right side
    132,964x = 39,599,408,016
  5. Step 5: Solve for x
    x = 39,599,408,016/132,964
  6. Step 6: Final answer
    x = 297,820.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.