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Finding the Third Proportional to 236,526.75 and 367,247.25

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Solution

The third proportional to 236,526.75 and 367,247.25 is: 570,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,526.75 : 367,247.25 = 367,247.25 : x
  2. Step 2: Convert to fraction form
    236,526.75/367,247.25 = 367,247.25/x
  3. Step 3: Cross multiply
    236,526.75x = 367,247.25 × 367,247.25
  4. Step 4: Simplify right side
    236,526.75x = 134,870,542,632.56
  5. Step 5: Solve for x
    x = 134,870,542,632.56/236,526.75
  6. Step 6: Final answer
    x = 570,212.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.