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Finding the Third Proportional to 120,423.94 and 264,682.69

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Solution

The third proportional to 120,423.94 and 264,682.69 is: 581,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,423.94 : 264,682.69 = 264,682.69 : x
  2. Step 2: Convert to fraction form
    120,423.94/264,682.69 = 264,682.69/x
  3. Step 3: Cross multiply
    120,423.94x = 264,682.69 × 264,682.69
  4. Step 4: Simplify right side
    120,423.94x = 70,056,925,062.22
  5. Step 5: Solve for x
    x = 70,056,925,062.22/120,423.94
  6. Step 6: Final answer
    x = 581,752.49

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