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Finding the Third Proportional to 173,566 and 351,956

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Solution

The third proportional to 173,566 and 351,956 is: 713,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,566 : 351,956 = 351,956 : x
  2. Step 2: Convert to fraction form
    173,566/351,956 = 351,956/x
  3. Step 3: Cross multiply
    173,566x = 351,956 × 351,956
  4. Step 4: Simplify right side
    173,566x = 123,873,025,936
  5. Step 5: Solve for x
    x = 123,873,025,936/173,566
  6. Step 6: Final answer
    x = 713,694.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.