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Finding the Third Proportional to 215,858 and 335,091

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Solution

The third proportional to 215,858 and 335,091 is: 520,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,858 : 335,091 = 335,091 : x
  2. Step 2: Convert to fraction form
    215,858/335,091 = 335,091/x
  3. Step 3: Cross multiply
    215,858x = 335,091 × 335,091
  4. Step 4: Simplify right side
    215,858x = 112,285,978,281
  5. Step 5: Solve for x
    x = 112,285,978,281/215,858
  6. Step 6: Final answer
    x = 520,184.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.