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Finding the Third Proportional to 120,403.50 and 263,644.50

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Solution

The third proportional to 120,403.50 and 263,644.50 is: 577,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,403.50 : 263,644.50 = 263,644.50 : x
  2. Step 2: Convert to fraction form
    120,403.50/263,644.50 = 263,644.50/x
  3. Step 3: Cross multiply
    120,403.50x = 263,644.50 × 263,644.50
  4. Step 4: Simplify right side
    120,403.50x = 69,508,422,380.25
  5. Step 5: Solve for x
    x = 69,508,422,380.25/120,403.50
  6. Step 6: Final answer
    x = 577,295.70

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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.