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Finding the Third Proportional to 120,827.48 and 264,893.97

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Solution

The third proportional to 120,827.48 and 264,893.97 is: 580,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,827.48 : 264,893.97 = 264,893.97 : x
  2. Step 2: Convert to fraction form
    120,827.48/264,893.97 = 264,893.97/x
  3. Step 3: Cross multiply
    120,827.48x = 264,893.97 × 264,893.97
  4. Step 4: Simplify right side
    120,827.48x = 70,168,814,162.75
  5. Step 5: Solve for x
    x = 70,168,814,162.75/120,827.48
  6. Step 6: Final answer
    x = 580,735.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.