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Finding the Third Proportional to 164,575.50 and 220,619

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Solution

The third proportional to 164,575.50 and 220,619 is: 295,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,575.50 : 220,619 = 220,619 : x
  2. Step 2: Convert to fraction form
    164,575.50/220,619 = 220,619/x
  3. Step 3: Cross multiply
    164,575.50x = 220,619 × 220,619
  4. Step 4: Simplify right side
    164,575.50x = 48,672,743,161
  5. Step 5: Solve for x
    x = 48,672,743,161/164,575.50
  6. Step 6: Final answer
    x = 295,747.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.