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Finding the Third Proportional to 149,676.75 and 232,408.13

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Solution

The third proportional to 149,676.75 and 232,408.13 is: 360,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,676.75 : 232,408.13 = 232,408.13 : x
  2. Step 2: Convert to fraction form
    149,676.75/232,408.13 = 232,408.13/x
  3. Step 3: Cross multiply
    149,676.75x = 232,408.13 × 232,408.13
  4. Step 4: Simplify right side
    149,676.75x = 54,013,536,566.02
  5. Step 5: Solve for x
    x = 54,013,536,566.02/149,676.75
  6. Step 6: Final answer
    x = 360,867.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.