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Finding the Third Proportional to 146,727 and 304,933

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Solution

The third proportional to 146,727 and 304,933 is: 633,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,727 : 304,933 = 304,933 : x
  2. Step 2: Convert to fraction form
    146,727/304,933 = 304,933/x
  3. Step 3: Cross multiply
    146,727x = 304,933 × 304,933
  4. Step 4: Simplify right side
    146,727x = 92,984,134,489
  5. Step 5: Solve for x
    x = 92,984,134,489/146,727
  6. Step 6: Final answer
    x = 633,722.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.