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Finding the Third Proportional to 110,886 and 243,894

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Solution

The third proportional to 110,886 and 243,894 is: 536,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,886 : 243,894 = 243,894 : x
  2. Step 2: Convert to fraction form
    110,886/243,894 = 243,894/x
  3. Step 3: Cross multiply
    110,886x = 243,894 × 243,894
  4. Step 4: Simplify right side
    110,886x = 59,484,283,236
  5. Step 5: Solve for x
    x = 59,484,283,236/110,886
  6. Step 6: Final answer
    x = 536,445.39

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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.