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Finding the Third Proportional to 120,414.94 and 284,770.69

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Solution

The third proportional to 120,414.94 and 284,770.69 is: 673,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,414.94 : 284,770.69 = 284,770.69 : x
  2. Step 2: Convert to fraction form
    120,414.94/284,770.69 = 284,770.69/x
  3. Step 3: Cross multiply
    120,414.94x = 284,770.69 × 284,770.69
  4. Step 4: Simplify right side
    120,414.94x = 81,094,344,459.22
  5. Step 5: Solve for x
    x = 81,094,344,459.22/120,414.94
  6. Step 6: Final answer
    x = 673,457.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.