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Finding the Third Proportional to 133,395.75 and 314,889.75

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Solution

The third proportional to 133,395.75 and 314,889.75 is: 743,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,395.75 : 314,889.75 = 314,889.75 : x
  2. Step 2: Convert to fraction form
    133,395.75/314,889.75 = 314,889.75/x
  3. Step 3: Cross multiply
    133,395.75x = 314,889.75 × 314,889.75
  4. Step 4: Simplify right side
    133,395.75x = 99,155,554,655.06
  5. Step 5: Solve for x
    x = 99,155,554,655.06/133,395.75
  6. Step 6: Final answer
    x = 743,318.69

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.