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Finding the Third Proportional to 120,970.97 and 263,162.67

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Solution

The third proportional to 120,970.97 and 263,162.67 is: 572,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970.97 : 263,162.67 = 263,162.67 : x
  2. Step 2: Convert to fraction form
    120,970.97/263,162.67 = 263,162.67/x
  3. Step 3: Cross multiply
    120,970.97x = 263,162.67 × 263,162.67
  4. Step 4: Simplify right side
    120,970.97x = 69,254,591,868.39
  5. Step 5: Solve for x
    x = 69,254,591,868.39/120,970.97
  6. Step 6: Final answer
    x = 572,489.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.