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Finding the Third Proportional to 133,960.50 and 286,338.38

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Solution

The third proportional to 133,960.50 and 286,338.38 is: 612,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,960.50 : 286,338.38 = 286,338.38 : x
  2. Step 2: Convert to fraction form
    133,960.50/286,338.38 = 286,338.38/x
  3. Step 3: Cross multiply
    133,960.50x = 286,338.38 × 286,338.38
  4. Step 4: Simplify right side
    133,960.50x = 81,989,664,997.64
  5. Step 5: Solve for x
    x = 81,989,664,997.64/133,960.50
  6. Step 6: Final answer
    x = 612,043.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.