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Finding the Third Proportional to 136,217.25 and 296,957.25

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Solution

The third proportional to 136,217.25 and 296,957.25 is: 647,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,217.25 : 296,957.25 = 296,957.25 : x
  2. Step 2: Convert to fraction form
    136,217.25/296,957.25 = 296,957.25/x
  3. Step 3: Cross multiply
    136,217.25x = 296,957.25 × 296,957.25
  4. Step 4: Simplify right side
    136,217.25x = 88,183,608,327.56
  5. Step 5: Solve for x
    x = 88,183,608,327.56/136,217.25
  6. Step 6: Final answer
    x = 647,374.75

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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.