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Finding the Third Proportional to 110,258 and 241,531

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Solution

The third proportional to 110,258 and 241,531 is: 529,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,258 : 241,531 = 241,531 : x
  2. Step 2: Convert to fraction form
    110,258/241,531 = 241,531/x
  3. Step 3: Cross multiply
    110,258x = 241,531 × 241,531
  4. Step 4: Simplify right side
    110,258x = 58,337,223,961
  5. Step 5: Solve for x
    x = 58,337,223,961/110,258
  6. Step 6: Final answer
    x = 529,097.43

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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.