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Finding the Third Proportional to 101,311.50 and 220,461

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Solution

The third proportional to 101,311.50 and 220,461 is: 479,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,311.50 : 220,461 = 220,461 : x
  2. Step 2: Convert to fraction form
    101,311.50/220,461 = 220,461/x
  3. Step 3: Cross multiply
    101,311.50x = 220,461 × 220,461
  4. Step 4: Simplify right side
    101,311.50x = 48,603,052,521
  5. Step 5: Solve for x
    x = 48,603,052,521/101,311.50
  6. Step 6: Final answer
    x = 479,738.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.