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Finding the Third Proportional to 138,017.25 and 281,839.50

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Solution

The third proportional to 138,017.25 and 281,839.50 is: 575,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,017.25 : 281,839.50 = 281,839.50 : x
  2. Step 2: Convert to fraction form
    138,017.25/281,839.50 = 281,839.50/x
  3. Step 3: Cross multiply
    138,017.25x = 281,839.50 × 281,839.50
  4. Step 4: Simplify right side
    138,017.25x = 79,433,503,760.25
  5. Step 5: Solve for x
    x = 79,433,503,760.25/138,017.25
  6. Step 6: Final answer
    x = 575,533.16

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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.