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Finding the Third Proportional to 143,732.25 and 335,715.75

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Solution

The third proportional to 143,732.25 and 335,715.75 is: 784,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,732.25 : 335,715.75 = 335,715.75 : x
  2. Step 2: Convert to fraction form
    143,732.25/335,715.75 = 335,715.75/x
  3. Step 3: Cross multiply
    143,732.25x = 335,715.75 × 335,715.75
  4. Step 4: Simplify right side
    143,732.25x = 112,705,064,798.06
  5. Step 5: Solve for x
    x = 112,705,064,798.06/143,732.25
  6. Step 6: Final answer
    x = 784,132.06

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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.