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Finding the Third Proportional to 146,363 and 220,695

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Solution

The third proportional to 146,363 and 220,695 is: 332,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,363 : 220,695 = 220,695 : x
  2. Step 2: Convert to fraction form
    146,363/220,695 = 220,695/x
  3. Step 3: Cross multiply
    146,363x = 220,695 × 220,695
  4. Step 4: Simplify right side
    146,363x = 48,706,283,025
  5. Step 5: Solve for x
    x = 48,706,283,025/146,363
  6. Step 6: Final answer
    x = 332,777.29

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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.