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Finding the Third Proportional to 138,251.25 and 282,334.50

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Solution

The third proportional to 138,251.25 and 282,334.50 is: 576,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,251.25 : 282,334.50 = 282,334.50 : x
  2. Step 2: Convert to fraction form
    138,251.25/282,334.50 = 282,334.50/x
  3. Step 3: Cross multiply
    138,251.25x = 282,334.50 × 282,334.50
  4. Step 4: Simplify right side
    138,251.25x = 79,712,769,890.25
  5. Step 5: Solve for x
    x = 79,712,769,890.25/138,251.25
  6. Step 6: Final answer
    x = 576,579.02

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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.