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Finding the Third Proportional to 143,533.13 and 335,251.69

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Solution

The third proportional to 143,533.13 and 335,251.69 is: 783,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,533.13 : 335,251.69 = 335,251.69 : x
  2. Step 2: Convert to fraction form
    143,533.13/335,251.69 = 335,251.69/x
  3. Step 3: Cross multiply
    143,533.13x = 335,251.69 × 335,251.69
  4. Step 4: Simplify right side
    143,533.13x = 112,393,693,971.60
  5. Step 5: Solve for x
    x = 112,393,693,971.60/143,533.13
  6. Step 6: Final answer
    x = 783,050.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.