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Finding the Third Proportional to 241,956 and 363,176

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Solution

The third proportional to 241,956 and 363,176 is: 545,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,956 : 363,176 = 363,176 : x
  2. Step 2: Convert to fraction form
    241,956/363,176 = 363,176/x
  3. Step 3: Cross multiply
    241,956x = 363,176 × 363,176
  4. Step 4: Simplify right side
    241,956x = 131,896,806,976
  5. Step 5: Solve for x
    x = 131,896,806,976/241,956
  6. Step 6: Final answer
    x = 545,127.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.