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Finding the Third Proportional to 146,720 and 304,920

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Solution

The third proportional to 146,720 and 304,920 is: 633,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,720 : 304,920 = 304,920 : x
  2. Step 2: Convert to fraction form
    146,720/304,920 = 304,920/x
  3. Step 3: Cross multiply
    146,720x = 304,920 × 304,920
  4. Step 4: Simplify right side
    146,720x = 92,976,206,400
  5. Step 5: Solve for x
    x = 92,976,206,400/146,720
  6. Step 6: Final answer
    x = 633,698.24

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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.