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Finding the Third Proportional to 241,194 and 354,564.75

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Solution

The third proportional to 241,194 and 354,564.75 is: 521,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,194 : 354,564.75 = 354,564.75 : x
  2. Step 2: Convert to fraction form
    241,194/354,564.75 = 354,564.75/x
  3. Step 3: Cross multiply
    241,194x = 354,564.75 × 354,564.75
  4. Step 4: Simplify right side
    241,194x = 125,716,161,942.56
  5. Step 5: Solve for x
    x = 125,716,161,942.56/241,194
  6. Step 6: Final answer
    x = 521,224.25

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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.