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Finding the Third Proportional to 131,675.63 and 198,676.13

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Solution

The third proportional to 131,675.63 and 198,676.13 is: 299,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,675.63 : 198,676.13 = 198,676.13 : x
  2. Step 2: Convert to fraction form
    131,675.63/198,676.13 = 198,676.13/x
  3. Step 3: Cross multiply
    131,675.63x = 198,676.13 × 198,676.13
  4. Step 4: Simplify right side
    131,675.63x = 39,472,202,645.02
  5. Step 5: Solve for x
    x = 39,472,202,645.02/131,675.63
  6. Step 6: Final answer
    x = 299,768.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.