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Finding the Third Proportional to 133,169.63 and 314,318.25

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Solution

The third proportional to 133,169.63 and 314,318.25 is: 741,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,169.63 : 314,318.25 = 314,318.25 : x
  2. Step 2: Convert to fraction form
    133,169.63/314,318.25 = 314,318.25/x
  3. Step 3: Cross multiply
    133,169.63x = 314,318.25 × 314,318.25
  4. Step 4: Simplify right side
    133,169.63x = 98,795,962,283.06
  5. Step 5: Solve for x
    x = 98,795,962,283.06/133,169.63
  6. Step 6: Final answer
    x = 741,880.61

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Why These Related Problems?

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