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Finding the Third Proportional to 146,210 and 220,395

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Solution

The third proportional to 146,210 and 220,395 is: 332,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,210 : 220,395 = 220,395 : x
  2. Step 2: Convert to fraction form
    146,210/220,395 = 220,395/x
  3. Step 3: Cross multiply
    146,210x = 220,395 × 220,395
  4. Step 4: Simplify right side
    146,210x = 48,573,956,025
  5. Step 5: Solve for x
    x = 48,573,956,025/146,210
  6. Step 6: Final answer
    x = 332,220.48

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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.