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Finding the Third Proportional to 110,782 and 241,613

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Solution

The third proportional to 110,782 and 241,613 is: 526,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,782 : 241,613 = 241,613 : x
  2. Step 2: Convert to fraction form
    110,782/241,613 = 241,613/x
  3. Step 3: Cross multiply
    110,782x = 241,613 × 241,613
  4. Step 4: Simplify right side
    110,782x = 58,376,841,769
  5. Step 5: Solve for x
    x = 58,376,841,769/110,782
  6. Step 6: Final answer
    x = 526,952.41

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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.