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Finding the Third Proportional to 175,927.50 and 343,104.75

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Solution

The third proportional to 175,927.50 and 343,104.75 is: 669,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,927.50 : 343,104.75 = 343,104.75 : x
  2. Step 2: Convert to fraction form
    175,927.50/343,104.75 = 343,104.75/x
  3. Step 3: Cross multiply
    175,927.50x = 343,104.75 × 343,104.75
  4. Step 4: Simplify right side
    175,927.50x = 117,720,869,472.56
  5. Step 5: Solve for x
    x = 117,720,869,472.56/175,927.50
  6. Step 6: Final answer
    x = 669,144.22

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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.