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Finding the Third Proportional to 237,021.75 and 512,131.50

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Solution

The third proportional to 237,021.75 and 512,131.50 is: 1,106,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,021.75 : 512,131.50 = 512,131.50 : x
  2. Step 2: Convert to fraction form
    237,021.75/512,131.50 = 512,131.50/x
  3. Step 3: Cross multiply
    237,021.75x = 512,131.50 × 512,131.50
  4. Step 4: Simplify right side
    237,021.75x = 262,278,673,292.25
  5. Step 5: Solve for x
    x = 262,278,673,292.25/237,021.75
  6. Step 6: Final answer
    x = 1,106,559.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.