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Finding the Third Proportional to 110,785 and 241,620

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Solution

The third proportional to 110,785 and 241,620 is: 526,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,785 : 241,620 = 241,620 : x
  2. Step 2: Convert to fraction form
    110,785/241,620 = 241,620/x
  3. Step 3: Cross multiply
    110,785x = 241,620 × 241,620
  4. Step 4: Simplify right side
    110,785x = 58,380,224,400
  5. Step 5: Solve for x
    x = 58,380,224,400/110,785
  6. Step 6: Final answer
    x = 526,968.67

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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.