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Finding the Third Proportional to 220,561.50 and 236,145

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Solution

The third proportional to 220,561.50 and 236,145 is: 252,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,561.50 : 236,145 = 236,145 : x
  2. Step 2: Convert to fraction form
    220,561.50/236,145 = 236,145/x
  3. Step 3: Cross multiply
    220,561.50x = 236,145 × 236,145
  4. Step 4: Simplify right side
    220,561.50x = 55,764,461,025
  5. Step 5: Solve for x
    x = 55,764,461,025/220,561.50
  6. Step 6: Final answer
    x = 252,829.53

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.