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Finding the Third Proportional to 132,274.50 and 198,714

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Solution

The third proportional to 132,274.50 and 198,714 is: 298,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,274.50 : 198,714 = 198,714 : x
  2. Step 2: Convert to fraction form
    132,274.50/198,714 = 198,714/x
  3. Step 3: Cross multiply
    132,274.50x = 198,714 × 198,714
  4. Step 4: Simplify right side
    132,274.50x = 39,487,253,796
  5. Step 5: Solve for x
    x = 39,487,253,796/132,274.50
  6. Step 6: Final answer
    x = 298,525.07

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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.