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Finding the Third Proportional to 241,233 and 354,832.88

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Solution

The third proportional to 241,233 and 354,832.88 is: 521,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,233 : 354,832.88 = 354,832.88 : x
  2. Step 2: Convert to fraction form
    241,233/354,832.88 = 354,832.88/x
  3. Step 3: Cross multiply
    241,233x = 354,832.88 × 354,832.88
  4. Step 4: Simplify right side
    241,233x = 125,906,369,180.77
  5. Step 5: Solve for x
    x = 125,906,369,180.77/241,233
  6. Step 6: Final answer
    x = 521,928.46

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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.