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Finding the Third Proportional to 171,001.50 and 256,593

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Solution

The third proportional to 171,001.50 and 256,593 is: 385,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,001.50 : 256,593 = 256,593 : x
  2. Step 2: Convert to fraction form
    171,001.50/256,593 = 256,593/x
  3. Step 3: Cross multiply
    171,001.50x = 256,593 × 256,593
  4. Step 4: Simplify right side
    171,001.50x = 65,839,967,649
  5. Step 5: Solve for x
    x = 65,839,967,649/171,001.50
  6. Step 6: Final answer
    x = 385,025.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.