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Finding the Third Proportional to 110,276 and 241,564

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Solution

The third proportional to 110,276 and 241,564 is: 529,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,276 : 241,564 = 241,564 : x
  2. Step 2: Convert to fraction form
    110,276/241,564 = 241,564/x
  3. Step 3: Cross multiply
    110,276x = 241,564 × 241,564
  4. Step 4: Simplify right side
    110,276x = 58,353,166,096
  5. Step 5: Solve for x
    x = 58,353,166,096/110,276
  6. Step 6: Final answer
    x = 529,155.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.