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Finding the Third Proportional to 146,572 and 220,247

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Solution

The third proportional to 146,572 and 220,247 is: 330,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,572 : 220,247 = 220,247 : x
  2. Step 2: Convert to fraction form
    146,572/220,247 = 220,247/x
  3. Step 3: Cross multiply
    146,572x = 220,247 × 220,247
  4. Step 4: Simplify right side
    146,572x = 48,508,741,009
  5. Step 5: Solve for x
    x = 48,508,741,009/146,572
  6. Step 6: Final answer
    x = 330,955.03

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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.