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Finding the Third Proportional to 117,170 and 255,724

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Solution

The third proportional to 117,170 and 255,724 is: 558,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,170 : 255,724 = 255,724 : x
  2. Step 2: Convert to fraction form
    117,170/255,724 = 255,724/x
  3. Step 3: Cross multiply
    117,170x = 255,724 × 255,724
  4. Step 4: Simplify right side
    117,170x = 65,394,764,176
  5. Step 5: Solve for x
    x = 65,394,764,176/117,170
  6. Step 6: Final answer
    x = 558,118.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.