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Finding the Third Proportional to 175,554 and 342,350

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Solution

The third proportional to 175,554 and 342,350 is: 667,620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,554 : 342,350 = 342,350 : x
  2. Step 2: Convert to fraction form
    175,554/342,350 = 342,350/x
  3. Step 3: Cross multiply
    175,554x = 342,350 × 342,350
  4. Step 4: Simplify right side
    175,554x = 117,203,522,500
  5. Step 5: Solve for x
    x = 117,203,522,500/175,554
  6. Step 6: Final answer
    x = 667,620.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.