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Finding the Third Proportional to 215,860 and 335,094

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Solution

The third proportional to 215,860 and 335,094 is: 520,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,860 : 335,094 = 335,094 : x
  2. Step 2: Convert to fraction form
    215,860/335,094 = 335,094/x
  3. Step 3: Cross multiply
    215,860x = 335,094 × 335,094
  4. Step 4: Simplify right side
    215,860x = 112,287,988,836
  5. Step 5: Solve for x
    x = 112,287,988,836/215,860
  6. Step 6: Final answer
    x = 520,188.96

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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.