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Finding the Third Proportional to 175,113.75 and 256,859.25

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Solution

The third proportional to 175,113.75 and 256,859.25 is: 376,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,113.75 : 256,859.25 = 256,859.25 : x
  2. Step 2: Convert to fraction form
    175,113.75/256,859.25 = 256,859.25/x
  3. Step 3: Cross multiply
    175,113.75x = 256,859.25 × 256,859.25
  4. Step 4: Simplify right side
    175,113.75x = 65,976,674,310.56
  5. Step 5: Solve for x
    x = 65,976,674,310.56/175,113.75
  6. Step 6: Final answer
    x = 376,764.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.