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Finding the Third Proportional to 215,042 and 300,764

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Solution

The third proportional to 215,042 and 300,764 is: 420,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,042 : 300,764 = 300,764 : x
  2. Step 2: Convert to fraction form
    215,042/300,764 = 300,764/x
  3. Step 3: Cross multiply
    215,042x = 300,764 × 300,764
  4. Step 4: Simplify right side
    215,042x = 90,458,983,696
  5. Step 5: Solve for x
    x = 90,458,983,696/215,042
  6. Step 6: Final answer
    x = 420,657.28

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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.