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Finding the Third Proportional to 143,562 and 335,317

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Solution

The third proportional to 143,562 and 335,317 is: 783,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,562 : 335,317 = 335,317 : x
  2. Step 2: Convert to fraction form
    143,562/335,317 = 335,317/x
  3. Step 3: Cross multiply
    143,562x = 335,317 × 335,317
  4. Step 4: Simplify right side
    143,562x = 112,437,490,489
  5. Step 5: Solve for x
    x = 112,437,490,489/143,562
  6. Step 6: Final answer
    x = 783,198.13

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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.