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Finding the Third Proportional to 120,428.44 and 264,691.13

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Solution

The third proportional to 120,428.44 and 264,691.13 is: 581,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,428.44 : 264,691.13 = 264,691.13 : x
  2. Step 2: Convert to fraction form
    120,428.44/264,691.13 = 264,691.13/x
  3. Step 3: Cross multiply
    120,428.44x = 264,691.13 × 264,691.13
  4. Step 4: Simplify right side
    120,428.44x = 70,061,391,653.77
  5. Step 5: Solve for x
    x = 70,061,391,653.77/120,428.44
  6. Step 6: Final answer
    x = 581,767.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.