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Finding the Third Proportional to 141,350.25 and 333,417.75

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Solution

The third proportional to 141,350.25 and 333,417.75 is: 786,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,350.25 : 333,417.75 = 333,417.75 : x
  2. Step 2: Convert to fraction form
    141,350.25/333,417.75 = 333,417.75/x
  3. Step 3: Cross multiply
    141,350.25x = 333,417.75 × 333,417.75
  4. Step 4: Simplify right side
    141,350.25x = 111,167,396,015.06
  5. Step 5: Solve for x
    x = 111,167,396,015.06/141,350.25
  6. Step 6: Final answer
    x = 786,467.63

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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.