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Finding the Third Proportional to 241,185.09 and 354,552.19

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Solution

The third proportional to 241,185.09 and 354,552.19 is: 521,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,185.09 : 354,552.19 = 354,552.19 : x
  2. Step 2: Convert to fraction form
    241,185.09/354,552.19 = 354,552.19/x
  3. Step 3: Cross multiply
    241,185.09x = 354,552.19 × 354,552.19
  4. Step 4: Simplify right side
    241,185.09x = 125,707,253,661.04
  5. Step 5: Solve for x
    x = 125,707,253,661.04/241,185.09
  6. Step 6: Final answer
    x = 521,206.56

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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.