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Finding the Third Proportional to 175,113.56 and 262,670.06

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Solution

The third proportional to 175,113.56 and 262,670.06 is: 394,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,113.56 : 262,670.06 = 262,670.06 : x
  2. Step 2: Convert to fraction form
    175,113.56/262,670.06 = 262,670.06/x
  3. Step 3: Cross multiply
    175,113.56x = 262,670.06 × 262,670.06
  4. Step 4: Simplify right side
    175,113.56x = 68,995,561,733.75
  5. Step 5: Solve for x
    x = 68,995,561,733.75/175,113.56
  6. Step 6: Final answer
    x = 394,004.67

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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.