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Finding the Third Proportional to 146,816 and 221,600

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Solution

The third proportional to 146,816 and 221,600 is: 334,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,816 : 221,600 = 221,600 : x
  2. Step 2: Convert to fraction form
    146,816/221,600 = 221,600/x
  3. Step 3: Cross multiply
    146,816x = 221,600 × 221,600
  4. Step 4: Simplify right side
    146,816x = 49,106,560,000
  5. Step 5: Solve for x
    x = 49,106,560,000/146,816
  6. Step 6: Final answer
    x = 334,476.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.