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Finding the Third Proportional to 241,194 and 354,563

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Solution

The third proportional to 241,194 and 354,563 is: 521,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,194 : 354,563 = 354,563 : x
  2. Step 2: Convert to fraction form
    241,194/354,563 = 354,563/x
  3. Step 3: Cross multiply
    241,194x = 354,563 × 354,563
  4. Step 4: Simplify right side
    241,194x = 125,714,920,969
  5. Step 5: Solve for x
    x = 125,714,920,969/241,194
  6. Step 6: Final answer
    x = 521,219.11

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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.