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Finding the Third Proportional to 138,955.50 and 282,825

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Solution

The third proportional to 138,955.50 and 282,825 is: 575,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,955.50 : 282,825 = 282,825 : x
  2. Step 2: Convert to fraction form
    138,955.50/282,825 = 282,825/x
  3. Step 3: Cross multiply
    138,955.50x = 282,825 × 282,825
  4. Step 4: Simplify right side
    138,955.50x = 79,989,980,625
  5. Step 5: Solve for x
    x = 79,989,980,625/138,955.50
  6. Step 6: Final answer
    x = 575,651.78

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.