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Finding the Third Proportional to 241,191.75 and 354,561.75

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Solution

The third proportional to 241,191.75 and 354,561.75 is: 521,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,191.75 : 354,561.75 = 354,561.75 : x
  2. Step 2: Convert to fraction form
    241,191.75/354,561.75 = 354,561.75/x
  3. Step 3: Cross multiply
    241,191.75x = 354,561.75 × 354,561.75
  4. Step 4: Simplify right side
    241,191.75x = 125,714,034,563.06
  5. Step 5: Solve for x
    x = 125,714,034,563.06/241,191.75
  6. Step 6: Final answer
    x = 521,220.29

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