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Finding the Third Proportional to 133,286.50 and 296,097.50

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Solution

The third proportional to 133,286.50 and 296,097.50 is: 657,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,286.50 : 296,097.50 = 296,097.50 : x
  2. Step 2: Convert to fraction form
    133,286.50/296,097.50 = 296,097.50/x
  3. Step 3: Cross multiply
    133,286.50x = 296,097.50 × 296,097.50
  4. Step 4: Simplify right side
    133,286.50x = 87,673,729,506.25
  5. Step 5: Solve for x
    x = 87,673,729,506.25/133,286.50
  6. Step 6: Final answer
    x = 657,784.02

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.