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Finding the Third Proportional to 215,239 and 300,920

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Solution

The third proportional to 215,239 and 300,920 is: 420,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,239 : 300,920 = 300,920 : x
  2. Step 2: Convert to fraction form
    215,239/300,920 = 300,920/x
  3. Step 3: Cross multiply
    215,239x = 300,920 × 300,920
  4. Step 4: Simplify right side
    215,239x = 90,552,846,400
  5. Step 5: Solve for x
    x = 90,552,846,400/215,239
  6. Step 6: Final answer
    x = 420,708.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.