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Finding the Third Proportional to 135,963.72 and 296,300.53

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Solution

The third proportional to 135,963.72 and 296,300.53 is: 645,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,963.72 : 296,300.53 = 296,300.53 : x
  2. Step 2: Convert to fraction form
    135,963.72/296,300.53 = 296,300.53/x
  3. Step 3: Cross multiply
    135,963.72x = 296,300.53 × 296,300.53
  4. Step 4: Simplify right side
    135,963.72x = 87,794,004,819.03
  5. Step 5: Solve for x
    x = 87,794,004,819.03/135,963.72
  6. Step 6: Final answer
    x = 645,716.40

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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.