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Finding the Third Proportional to 241,499.44 and 354,864.75

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Solution

The third proportional to 241,499.44 and 354,864.75 is: 521,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,499.44 : 354,864.75 = 354,864.75 : x
  2. Step 2: Convert to fraction form
    241,499.44/354,864.75 = 354,864.75/x
  3. Step 3: Cross multiply
    241,499.44x = 354,864.75 × 354,864.75
  4. Step 4: Simplify right side
    241,499.44x = 125,928,990,792.56
  5. Step 5: Solve for x
    x = 125,928,990,792.56/241,499.44
  6. Step 6: Final answer
    x = 521,446.31

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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.