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Finding the Third Proportional to 148,965 and 304,491

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Solution

The third proportional to 148,965 and 304,491 is: 622,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,965 : 304,491 = 304,491 : x
  2. Step 2: Convert to fraction form
    148,965/304,491 = 304,491/x
  3. Step 3: Cross multiply
    148,965x = 304,491 × 304,491
  4. Step 4: Simplify right side
    148,965x = 92,714,769,081
  5. Step 5: Solve for x
    x = 92,714,769,081/148,965
  6. Step 6: Final answer
    x = 622,392.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.