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Finding the Third Proportional to 110,849 and 243,842

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Solution

The third proportional to 110,849 and 243,842 is: 536,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,849 : 243,842 = 243,842 : x
  2. Step 2: Convert to fraction form
    110,849/243,842 = 243,842/x
  3. Step 3: Cross multiply
    110,849x = 243,842 × 243,842
  4. Step 4: Simplify right side
    110,849x = 59,458,920,964
  5. Step 5: Solve for x
    x = 59,458,920,964/110,849
  6. Step 6: Final answer
    x = 536,395.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.