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Finding the Third Proportional to 133,963.88 and 286,350.75

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Solution

The third proportional to 133,963.88 and 286,350.75 is: 612,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,963.88 : 286,350.75 = 286,350.75 : x
  2. Step 2: Convert to fraction form
    133,963.88/286,350.75 = 286,350.75/x
  3. Step 3: Cross multiply
    133,963.88x = 286,350.75 × 286,350.75
  4. Step 4: Simplify right side
    133,963.88x = 81,996,752,025.56
  5. Step 5: Solve for x
    x = 81,996,752,025.56/133,963.88
  6. Step 6: Final answer
    x = 612,081.07

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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.