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Finding the Third Proportional to 120,884.63 and 284,350.50

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Solution

The third proportional to 120,884.63 and 284,350.50 is: 668,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,884.63 : 284,350.50 = 284,350.50 : x
  2. Step 2: Convert to fraction form
    120,884.63/284,350.50 = 284,350.50/x
  3. Step 3: Cross multiply
    120,884.63x = 284,350.50 × 284,350.50
  4. Step 4: Simplify right side
    120,884.63x = 80,855,206,850.25
  5. Step 5: Solve for x
    x = 80,855,206,850.25/120,884.63
  6. Step 6: Final answer
    x = 668,862.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.