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Finding the Third Proportional to 137,576.25 and 298,052.25

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Solution

The third proportional to 137,576.25 and 298,052.25 is: 645,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,576.25 : 298,052.25 = 298,052.25 : x
  2. Step 2: Convert to fraction form
    137,576.25/298,052.25 = 298,052.25/x
  3. Step 3: Cross multiply
    137,576.25x = 298,052.25 × 298,052.25
  4. Step 4: Simplify right side
    137,576.25x = 88,835,143,730.06
  5. Step 5: Solve for x
    x = 88,835,143,730.06/137,576.25
  6. Step 6: Final answer
    x = 645,715.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.