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Finding the Third Proportional to 146,977 and 220,663.50

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Solution

The third proportional to 146,977 and 220,663.50 is: 331,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,977 : 220,663.50 = 220,663.50 : x
  2. Step 2: Convert to fraction form
    146,977/220,663.50 = 220,663.50/x
  3. Step 3: Cross multiply
    146,977x = 220,663.50 × 220,663.50
  4. Step 4: Simplify right side
    146,977x = 48,692,380,232.25
  5. Step 5: Solve for x
    x = 48,692,380,232.25/146,977
  6. Step 6: Final answer
    x = 331,292.52

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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.