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Finding the Third Proportional to 146,984 and 220,674

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Solution

The third proportional to 146,984 and 220,674 is: 331,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,984 : 220,674 = 220,674 : x
  2. Step 2: Convert to fraction form
    146,984/220,674 = 220,674/x
  3. Step 3: Cross multiply
    146,984x = 220,674 × 220,674
  4. Step 4: Simplify right side
    146,984x = 48,697,014,276
  5. Step 5: Solve for x
    x = 48,697,014,276/146,984
  6. Step 6: Final answer
    x = 331,308.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.