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Finding the Third Proportional to 241,244 and 354,849

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Solution

The third proportional to 241,244 and 354,849 is: 521,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,244 : 354,849 = 354,849 : x
  2. Step 2: Convert to fraction form
    241,244/354,849 = 354,849/x
  3. Step 3: Cross multiply
    241,244x = 354,849 × 354,849
  4. Step 4: Simplify right side
    241,244x = 125,917,812,801
  5. Step 5: Solve for x
    x = 125,917,812,801/241,244
  6. Step 6: Final answer
    x = 521,952.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.