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Finding the Third Proportional to 173,569 and 351,966

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Solution

The third proportional to 173,569 and 351,966 is: 713,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,569 : 351,966 = 351,966 : x
  2. Step 2: Convert to fraction form
    173,569/351,966 = 351,966/x
  3. Step 3: Cross multiply
    173,569x = 351,966 × 351,966
  4. Step 4: Simplify right side
    173,569x = 123,880,065,156
  5. Step 5: Solve for x
    x = 123,880,065,156/173,569
  6. Step 6: Final answer
    x = 713,722.30

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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.