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Finding the Third Proportional to 175,905.75 and 343,061.25

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Solution

The third proportional to 175,905.75 and 343,061.25 is: 669,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,905.75 : 343,061.25 = 343,061.25 : x
  2. Step 2: Convert to fraction form
    175,905.75/343,061.25 = 343,061.25/x
  3. Step 3: Cross multiply
    175,905.75x = 343,061.25 × 343,061.25
  4. Step 4: Simplify right side
    175,905.75x = 117,691,021,251.56
  5. Step 5: Solve for x
    x = 117,691,021,251.56/175,905.75
  6. Step 6: Final answer
    x = 669,057.27

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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.