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Finding the Third Proportional to 143,542 and 335,273

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Solution

The third proportional to 143,542 and 335,273 is: 783,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,542 : 335,273 = 335,273 : x
  2. Step 2: Convert to fraction form
    143,542/335,273 = 335,273/x
  3. Step 3: Cross multiply
    143,542x = 335,273 × 335,273
  4. Step 4: Simplify right side
    143,542x = 112,407,984,529
  5. Step 5: Solve for x
    x = 112,407,984,529/143,542
  6. Step 6: Final answer
    x = 783,101.70

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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.