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Finding the Third Proportional to 111,290 and 241,042

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Solution

The third proportional to 111,290 and 241,042 is: 522,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,290 : 241,042 = 241,042 : x
  2. Step 2: Convert to fraction form
    111,290/241,042 = 241,042/x
  3. Step 3: Cross multiply
    111,290x = 241,042 × 241,042
  4. Step 4: Simplify right side
    111,290x = 58,101,245,764
  5. Step 5: Solve for x
    x = 58,101,245,764/111,290
  6. Step 6: Final answer
    x = 522,070.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.