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Finding the Third Proportional to 110,487 and 241,872

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Solution

The third proportional to 110,487 and 241,872 is: 529,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,487 : 241,872 = 241,872 : x
  2. Step 2: Convert to fraction form
    110,487/241,872 = 241,872/x
  3. Step 3: Cross multiply
    110,487x = 241,872 × 241,872
  4. Step 4: Simplify right side
    110,487x = 58,502,064,384
  5. Step 5: Solve for x
    x = 58,502,064,384/110,487
  6. Step 6: Final answer
    x = 529,492.74

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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.