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Finding the Third Proportional to 110,212 and 240,080

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Solution

The third proportional to 110,212 and 240,080 is: 522,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,212 : 240,080 = 240,080 : x
  2. Step 2: Convert to fraction form
    110,212/240,080 = 240,080/x
  3. Step 3: Cross multiply
    110,212x = 240,080 × 240,080
  4. Step 4: Simplify right side
    110,212x = 57,638,406,400
  5. Step 5: Solve for x
    x = 57,638,406,400/110,212
  6. Step 6: Final answer
    x = 522,977.59

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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.