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Finding the Third Proportional to 101,740.50 and 220,430

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Solution

The third proportional to 101,740.50 and 220,430 is: 477,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,740.50 : 220,430 = 220,430 : x
  2. Step 2: Convert to fraction form
    101,740.50/220,430 = 220,430/x
  3. Step 3: Cross multiply
    101,740.50x = 220,430 × 220,430
  4. Step 4: Simplify right side
    101,740.50x = 48,589,384,900
  5. Step 5: Solve for x
    x = 48,589,384,900/101,740.50
  6. Step 6: Final answer
    x = 477,581.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.